No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
Those store cards that are 90 days late but not yet CO or sent to collections I would handle first. Yes they will probably require full payment to stop a CO/CA. And that would be your best bet. Just make sure they have not proceeded with either yet.
You really don't want either of those to hit your report now. Your scores would tank.
For the 2 in collections, is the OC reporting along with a CA? Just the OC?