Generally speaking your yearly income x 3 = safe mortgage. But you also have to include fire and wind insurance in florida. Do you have to worry about Home Owner Association fees or lot rent? Those can add greatly to your monthly bill. Wind insurance can be horribly expensive. Then property taxes, they are impolite also. You also have transportation expenses to figure into the equation and do not forget food. Heat, electricity, a/c in summer is a must.
And then what if repairs are needed? Can you pay for them?
The amount you are looking at is low. Maybe you could get a loan, maybe not. You will need some money to pay for a down payment. Likely also closing costs although you might get a seller to pay for them.
Enough of the discouraging section. Maybe you can buy a house. Maybe you can get a loan. I would talk to a lender near you and find out. Most banks (and credit unions) have either an in-house lender or someone they can send you to. Ask a local professional who would give you the correct answer. Unless you plan on selling in a very short time get a fixed rate loan. Even short term I would as sometimes plans change and refinancing later costs money.
One key for you. Do not pay your credit card off on time. pay it off EARLY. That helps your score a lot more than paying it on time does.
Credit scores of 620 and above are able to get a loan with everything else right. (yours should be above that) Your debt to income, not having more than a low amount of debt compared to available credit, and paying on time are all very helpful things.
What I wonder about is the part time job. You are in school, will the job last? Will you want to move after you graduate? Buying a house is a very long commitment.