Is this two girls? Let's call them Sally and Jane.
If you want to ask one or the other out? Ask that person out.
And make it clear that you practice polyamory and don't want to be exclusive.
"I think you are really neat and would like to ask you on a date. You need to know that I am not monogamous. I practice polyamory. I know that's not everyone's cup of tea. It's fine if you say no thanks, or need more time to think on it. Either way, I hope you take it as a compliment that I think you are neat."
There. The person knows you are interested and what you seek, and you gave them a way to say no thanks politely.
Keep in mind even if up for poly? Some people don't want to date the same person their friend is dating. Too weird and messy for them.
Have you thought about who would be on
your messy people list? You probably don't want to date people that date your relatives, esp parents and siblings, right? How about other people that would make it weird? Your roomie? Your best friend? Your coworkers?
So I guess should I ask out the first girl I was attracted to and, while on the date should I ask if her friend likes me as well?
No. If you want to know what the friend Sally thinks, ask Sally direct if she likes you and would like to date.
Asking Jane if she thinks Sally likes you while ON A DATE with Jane? Kinda rude. Is the date to learn about Jane and get to know her better? Or just pump her for info about Sally?
Also is having a mental crisis with my identity common in situations like this? because I am an open person just never thought I would be attracted to two people at the same time.
I don't know what you mean by this. You did mention class. Are you a teen or 20s person that is a student?
If so, the teens and 20s is the time for figuring out who you are as a young adult. It's NORMAL to feel all "up in the air" because it's a transitional phase of life.
You can be attracted to whoever. You are alive and will notice people. It is ok.
It just means you are attracted. It does not mean they are going to be attracted back. Or that a polyamorous relationship is automatically going to happen here.
Maybe you could slow down some and before you ask anyone out, you spend some time getting to know yourself and what it is you seek?