Congrats on the great improvements so far. I would personally put a bullet through the FP card. It's crap, pure and simple. No need to wait a year - that's commonly the advice for when one wishes to get future cards with a lender and I don't see that being the case for you. In your shoes, I wouldn't and couldn't care less if I angered FP by closing their card "early".
Your UTI is low so you'll be fine there. Try for a CLI on Ulta and VS in July (61 days after opening - that 61 day timeframe works for many of us on CLIs with Comenity-backed cards), and every 61 days thereafter. Keep your reported usage low and in November check prequals for Amex and other majors, or Navy if you have a way in. Check with a local CU if you Bank with one as well, but I'd wait until November so your newest accounts are a full six months old. That'll let your age factors bulk up a little before resetting your AoYRA to zero. Meantime you can go after the 30-lates like you mentioned 
I think considering the progress you've already made, there's no need to keep that FP card. I would keep working on any derogatories and building up your current cards. Let your accounts age and your scores grow for a while and then apply for a new card or two. Otherwise you'll just keep getting low limit cards. Keep your rebuild slow and steady.
Just an update... the 61 days just passed... I tried for the CLI and got the 7-10 days message 