So you were denied traditional unemployment when you applied back then? Yes, you can file for the back weeks of PUA. That is going to take time to sort out, though, since you are working now. The IDES is instituting a new “call back” system, so you should be able to talk to a person in coming days. I suggest filing for PUA, then getting some kind of result — perhaps limited because you are now earning — and then you will be in a position to appeal for the back payments. Do it NOW before the $600/week expires, further complicating efforts to get back payments.