1) You can't quit; you've been laid off. That means you're out of job. Get another one. If they call you back, and your old job is better than your new one, then go back to it. You're not sending any kind of message to your old employer by getting another job, since the only way they'll know you've done that is if you tell them. So don't tell them.
2) Most employers ask about your previous experience. Tell them then. Or not. If you're looking for work in a different kind of job entirely, your experience may not be relevant anyway. List whomever you want as a reference. But even if you do list your old employer for whatever reason, and they do get called, that says you're looking for work not that you've found work.
And what does you being a student have to do with anything?
Thank you very much for your help, I appreciate it tons.
The answers that I googled up on usually made me end up on the ones for actual full-time workers (as in not continuing school, they have exclusive benefits for working an x amount of years such as vacation pay, insurance, etc). Sorry if my wording seemed a bit word on that part.
You do what we do whenever one of us get laid off, bear through he bad, and find another job as soon as possible. Answers:
Your new employer, depending on high end it is, need not know why or how you quit, if the check, just answer, yes I did, and this is why, short sweet and to the point, don't get into it. If you're a good worker and interviewed well there's no need ot get into it.
The second question is irrelevant, you have no reason to tell them how long ago or why.
Just find a new job and leave anything else extra out, ok.
I'm pretty cautious about my actions when it comes to employment related activities, I just need to make sure that I won't leave any wrong ideas to them in some form or another since I'm inexperienced when it comes to this sort of matter.