So have you been laid off from your regular full time job yet, or are you just anticipating it? If, as it has been said, you have made some money and put a few more significant weeks of work in before you stop working for them due to lay off, that'll be fine. In any case, file the claim based on where you are working when you are laid off and see what's going on. Most part time work that you left while working will not be a big issue, unless your quitting it was very immediate to your other separation.
Then, of course if the part time job does call you back and ask you to work part time while you are drawing unemployment benefits, you can do that and receive part of your unemployment benefits, depending on how much you are working and how much you are drawing a week in unemployment. It can be a nice supplement to unemployment benefits and can extend them (you do not lose the money from unemployment that you do not draw each week, it can be held in your claim and parceled out in smaller units.)