If I was not layed off but my part time job is "temporarily closed due to covid, do I still qualify for unemployment?

Would love to know if you got it or not and how much. The feds are doling out an extra $600 to everyones unemployment check, making unemployment more lucrative than working.

Yes, you should.

You have effectively been laid off.

Yes, if you are not being allowed to work and you are not being paid, then you qualify, even if the situation isn't permanent.

You could try for it. A couple of deciding factors would be who wrote your paycheck (the Company or an employment agency) how many hours you worked and how much money you made per week.