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Better than the Selflender loan is something called the Share Secure Loan Technique. This thread explains all about it. You only need to read the first 2-3 posts:
As you'll see from reading those posts, the key idea is to pay off almost all of the loan in the first month and then keep it open for 5 years. That may be doable with the Selflender loan you have. But it may not be. So you may wish to explore opening an SSL at Alliant, implementing the paydown technique, and then paying off the SL loan you have now.
Getting a third credit card would be a good idea eventually. Any time you want to squeeze out some extra scoring points you can pay two of the three cards to $0 and then make sure the remaining card is reporting a small balance, like $15 say.
Currently the EQ and EX are about 100 pts apart. Are there credit lines on one report that is not on another, new, AU, or a derog on one reporting?
You have a self lender which will be good for the credit mix of installment and revolving.
Best is to always keep your utilization low, this includes the AU account you are currently on, if they carry a balance, then ideally for maximum scoring, the AZEO (All zero except one) balance reports. If the AU is indeed 0 , paid in full before statement cuts, between your two secured cards is to charge for activity, however PIF one account before statement cuts not the due date, and let the other one report a balance of less than 8.9% of the total credit line, ie no more than $45 on a 500 line of credit. Continue timely payments and hopefully the Cap 1 will graduate to an unsecured account in 6 months or so.
Are these the only two cards you have applied for and were approved? New inquires will ding your scores a tad, but recoup in a year when not counted with FICO 8 scores.
If you have derogs, past late payments on closed accounts, or charge off , medical, cards, utilities, etc. goodwill letters or PFD will help. That would be in the rebuilding forum if this is the case.
Yes if you can get the pay for deletes on the two medical, that bureau will jump siginifcantly into the 700s also.
Yes 4 inquiries in a month will most likely lead to further denials at present, I would garden (not app) for minimum 6 months, as they are seeing you as actively seeking credit. Just continue on the low utilization, payments timely (before due date preferably). In a year, those 4 inquiries will fall off as being scoreable on FICO 8, and you will have had a year of payments, then app for cards like Discover It, that will reward you and be unsecured. Do try to stay away from store cards, or only 1 or 2 in future that you really will patronize the business on occasion.