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What is the first account? How old is the CA account?
Is the account from Cap 1 paid? If not you could offer them a settlement for a deletion from your CR. Even if they don't delete, paying it will stop it from counting in your utilization.
The new collection is hurting you. You can send the CA a DV letter. If they respond offer a PFD.
What's your credit card utilization like now?
Getting it as low as you can (ideally 9% or lower) will be a quick fix to your scores as you absorb the great information here and figure out how to work on the negatives on your reports.
If the CA accepts a Pay for delete, yes, the collection will be removed.
If you can get a CC, even a secured one, it will help.