Updating the story...
Thank you all for your advises. Your insights have been really helpful for me, for at least, for me trying to understand what is happening.
I somehow at least wish to think that "Katten" was the one who somehow seems to know what kind of the situation I'm dealing with.
Month has passed. Things still remain strange...
It only lasted a week until I received a message from her. She was not able to handle the younger dog (Irish setter, they are really hard dogs to handle because of the endless energy they pack). I was asked to take her (dog) here with the other one (also very energetic one, dalmatian). Of course I agreed. I visited them and we had a "family dinner" and I had a little time to spend with the boy also. It was really nice couple of hours. It was just like nothing has happened at all. She talked about all the normal things. After dinner she asked me again if I was willing to take the Setter (she is the legal owner of the dog as I'm owner of the older one), at least for some time. She said that it was impossible to handle a 5 year old boy and the dog. Too much trouble and everything was too hard. Just the things she had accused me for and just the things I was trying to help her with when we still were together...
Then I went back home. It was a tough week. Setter was a mess, a nerve wreck. (I was told by my spouse) It hadn't eaten for days, it refused to drink and all it did was to cause trouble so she yelled a lot to the dog.
Setter seemed to have protested against the new home arrangements.
It took me a week to get the dog back to shape, to eat and drink again. It still isn't like it was used to be, but it has calmed down a bit. Her big sister the dal seems to calm her down, but it still needs a lot and I mean a lot of attention. Otherwise she starts to destroy the house.
This is my life now (I like it so don't get this wrong). Taking care of the dogs, one of them especially wanted by my spouse.
After that couple of days went quietly. Then my spouse made contact again. I got some very normal messages, like things were just like they were like a year ago and I just was on a work trip or so.
She seems to contact me almost every day, for some reason. Mostly for maybe just to tell something like what happened to her at work or things like that. But never more than few messages.
After a week she needed some winter clothes which were left here. We agreed that I would take those to their house, so the dogs won't be upset. So I did. Saw the kid, played with him, we had a coffee together. Nice time.
I also gave her a letter that I wrote, about my feelings, us, everything, how confused I am about everything. Letter itself was very friendly, not accusing. Still she never said a word about it.
Next day she called, they needed a ride to a hospital, because our son had tripped and had a possible tooth injury. Nothing serious came up, we just visited hospital... Nothing much to say about that incident but that I was called instantly when needed...
Few days after that we sent few messages about the dogs and the upcoming Halloween, she didn't want this conversation. She said it was too painful to hear about the dogs. It was the first time she said anything like that. Something that had feelings. I remember the end of the conversation. Last two messages were. This is too painful, I will dissociate you away *puffff*. Now I can live for a while again.
Halloween came. We had a tradition to carve pumpkins with our son, so I wanted to keep that tradition. I went to their home, and we had a dinner, normal conversation (but nothing about us or our family/relationship) and we carved pumpkin lanterns. All went well. She later referred to pumpkins about me and her... The pumpkins looked like

and
Few days after that she wanted winter tires for her car. I told her I can change them, but she just wanted the tires. So I took them to her. 2 days later I got several messages about how to change them... She had called her mother to help her (she lives in another city), but it was many hours and no results. So I wen't there to help her. We changed the tires and had a little discussion about us.
Main thing she said was: This break up is painful but necessary. She does not respect me because of what happened in the spring. This breakup is needed for her system to survive. Yes, she referred herself as a system. It maybe is because of the dissociation links we had read together during the fall or maybe something else. All this came up again and again. I think she didn't even listen what I had to say... Also last time we discussed about us, the reason for breakup was different.
But this is something that some of you said earlier in these messages...
Again, week passed, with few messages. Then, they had car trouble again and I was called, this time it was dead battery. I went to help them. It went well. She at least said thanks

for the, ride, battery and change work.
Last week it was her birthday. I messaged if I can come for a visit. I went there and gave her a card, flowers, salmon sandwiches for next days lunch (she loves those) and a just baked pizza I had made. It was nice time.
She told me about some trouble she's having at work. She also told she was asked to go to family therapy, the same I went a month ago (let's see if she will). And stuff like that, just like normal conversation. Nothing special, nothing about our situation. Nothing about the dogs, or anything.
Few days later I sent her a letter, just like earlier. It was about how I feel, how I know about the mistakes what I've made, about what I feel about her. She answered with message. Thanks for the mail.
It was 5 days ago, haven't heard about her since...
That was the base story.
Some other sightings and some kind of conclusion.
House where I live. "Our home". It looks about the same it looked before they moved out (that was 50 days ago). I have noticed that there are some of her things everywhere. F. ex. toilet. She took almost all of her stuff, but in every place, she left something. One one shelf there is nail polish (the other 20 bottles she took with her) and on the other shelf there is something else. There is no logic with the things which are left behind. They are new and all of them are from the higher price range. But they are everywhere. Also all of the decorative elements/photos/memories are still here. Just like almost all of her shoes...
She has keys in here. She owns half of the house... at least on paper, but it's ok for me to her to have the keys. I have a strange feeling that she has visited here couple of times, when I'm out with the dogs. Those trips are daily and last for something like 2 hours, so it's possible...
Conclusion part.
It seems that my spouse kind of acts like nothing has happened at all. (my sister agreed to that, she went to see our son with her one day)
Nothing about our relationship is discussed about. Even if asked, conversation is very limited.
Anything I say doesn't seem to help in any way. It's "ignored". No answers are given.
It seems that I can visit them once and a while and see the boy.
She seems to take contact in every two days.
Every money issue remains unsettled.
She now has some feelings. At least in some occasions.
I'm still "out in the cold".
Kid seems good.
She seems to be well also. Only the migraine has been constant for 3-4 weeks. That she said.
That's the story so far...
I don't know how this turns out. I'm starting to feel that I'm wrong in all of this. Maybe this has nothing to do with the dissociation. I don't know. Still I have tried to be helpful and kind, don't know if it helps...