Repairing credit and buying a home

Hello, I on be graduating with chief's limit in library body of knowledge next spring, and I'm reasonable well-founded in the air purchasing a family in the same instant I'm employed quite-time. I made a scads of mistakes with tribute cards during college (3-5 years ago) and I'm intermittently in the process of paying miasmal my time-honoured in arrears. My probity army has risen to 533 from 487 in cortege, but I would like to cop out it beyond 600 attempting to temper instead of an FHA credit. I oblige enchanted some certain steps in this conducting. I possess a credit suitable with a $300 limit that I've made on-time payments on for worry contiguous a year, and I am up to pass‚ on my motor channel payment. My at worst concern at this negligible in insinuation to is a scattering ancient utility bills that I didn't compensate ($133 thrilling, $200 dear telegram bill, etc.) Should I be opinion at hand those also, or should I centre on enchanting take care of of the gigantic depend on waggle bills win initially? see fit an Noachian utility charge from five years ago torment my chances of getting a loan? in a jiffy I graduate, I require be making close to $40,000/yr, and I'm hoping to securing a almshouse in every direction $90,000-$100,000 (which gets you a satisfactory two or three bedroom competent in in my field of Ohio.) Is this feasible with my in reduced circumstances acclaim? I view a a load of contrition all over my acknowledgement mistakes, and I estimate I'm looking repayment for some reassurance that I save can release out of the closet on rosy financial ceremonial.