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If you have the money to settle the charge off I'd say do it, it's better to have it off your mind. If you can't afford $2700 right now let it age off.
As far as other cards, if you're looking at store cards make sure you pick ones you'll actually use with a good rewards program. I got Victoria's secret because I love their products and lingerie, I'm also a mad pink addict lol
You can try SCT to get a store card without a HP but I'd be careful not to open too many at once. Comenity has been known to approve someone and then close ALL their accounts by manual review before the cards even get to you because they deem you high risk.
Do you have any other derogs? Or any inquiries besides the one for Cap 1?
Your score will definitely recover from the inquiry, IIRC after a year it won't affect your score and after 2 years it drops off completely.
You mentioned that you're disputing the Synchrony account as paid but unless it's still showing that you owe a balance disputing it won't change anything. Even though the account is paid it will still stay on your CR for 7 years. I think one thing that's bringing your score down is the chargeoff, you can either pay it or if you're willing to wait 3 years your score should improve once it falls off. Do you have any late payments?
If you do I would advise trying to do a Goodwill letter campaign to have them removed.
You're welcome, try going to the Student Loan section of the forum. I've seen a few people have success with getting Navient lates removed. Good luck, you'll get there.
Sweet SL btw