I don't know how it is where you're at, but where I am, there are centers and therapists who help financially struggling people. Some will give a discount, some will wave fees entirely for a bit depending on your case, it's always worth a try. Do you have insurance through work or anything? Many therapists will take insurances and you don't have to pay anything out of pocket.
Just because alters stay silent for a while doesn't mean they've integrated. A lot of people, including myself, think that alters integrate because they've been so quiet (sometimes for a long time, like years), but then they end up resurfacing and you realize they didn't really integrate. So, don't assume anything for sure.
"New" alters can be called new. They're not new to existing, but they're new to your awareness. As for the new alter, you don't have to know her name to call her out or ask to talk to her. Try saying stuff like "Can I talk to the female who I just learned about, who's a bit of the sexual type", or something like that. You could even try writing something like that to see if she responds in her own time.
Amanda sounds more like a care taker of the system, not necessarily an original. My original core is 8 yr old Cassie, and she doesn't keep track of anything she doesn't have to. Oh, and knowing who the original is isn't really important (unless for therapy reasons). Lots of people don't know who the original is, or don't have the original around (sometimes, it's too much for the original to stay "awake" or "around", so they kinda just stay "asleep").
You could always try asking Amanda why she seems to not want you to know yet. But be patient with yourself, all of yourself. DID systems are meant to hide and not be noticed, so it could just simply take some time for your system to get used to not having to hide anymore. Consistent reassurance that you're safe, they're safe, they can come forward, and you'd simply like to get to know them, can help with this.
Littles are common to have, especially since splitting starts in childhood. Maybe you can ask Amanda if you have a little, or even ask the little to come forward? Before you do, make sure you're as safe and as comfortable as possible. Littles especially need reassurance. Surround yourself with comfy, safe objects like pillows, blankets, any stuffed animals you may have, stuff like that.
I agree with Una+ on this one. It's not safe for your boyfriend to attempt hypnotism on you. Not a good idea at all. Leave that type of stuff to professionals, though it's not preferred thing for DID patients. Perhaps look to meditation as a sort of replacement? It can usually produce the same or similar results because of the relaxed states you can reach, and it's much safer. Again though, be patient with yourself. The stuff you're searching for will come to you, and it is possible to figure that stuff out with increasing communication, it just takes some time. Meditation can definitely help a lot, though.
There's no "easy fix" or "fast way" to figure everything out. Working on communication, meditation, and consistent reassurance to your others are the best ways to get the answers you're looking for. Therapy definitely helps, but it's not absolutely needed if you can't get it yet. Just know it'll take some time, and without therapy, it might take a bit more time. It all depends on you, your system, and how everyone feels (in terms of being "ready" and stuff).