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Welcome to the forum.. Couple things...
MyFico scores use FICO formulas, but it might not be the same one as the lender, as there are variations to the scoring model. Which FICO is the 588? TU or Equifax. My LO indicates usually the Fico score on here for TU is higher than the one they pull, but the EQ is usually right on. Also, when your lender did the pull, it will have placed inquiries on your credit, which will have dinged it as well and knocked it down a little. So if the lender pulled your EQ last week and it was 581, and you pulled it today and it was 588, that doesn't seem far off.
Disputing a closed charge off is likely futile.. Capital One agreeing to deletion willy nilly when getting payment? Doesn't sound like them, but even if they did say so, and you didn't have it in writing, you are probably jacked.. And that dispute may have lowered your score while the dispute is on-going. Same with the medical collections..
Dropping your util from 80% to 20% is solid, but you could get better scores if you dropped it to sub 10%
Just removing one collection account usually won't do alot, if you have 3 more that are there. And if those accounts are in dispute, this could cause problems with the lender as well..
-scott