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Are you saying that the only debt you have (or had) was just the auto loan and personal loan, both paid off and you carry no credit cards? From my point of view you ARE able to pay an installment account with ease. However if you do not have any revolving tradelines reporting that just may raise an eyebrow for some lenders. I'm impressed with your scores if in fact you have no credit cards!
You might be in good shape for an auto loan, BUT if you don't have any credit cards, I'd suggest getting one or two and your score would benefit even more.
Your credit scores benefit more from revolving accts(credit cards) than installments accts (personal loans, auto loan).
Hope I could help.