Hello and welcome!
IMHO, I would retake the ASVAB. I don't know what a 59 can get you, if it can get you anything. However, knowing that 75 or higher is what is being considered, then definitely retake the test.
The rate will determine how fast you get to A school after boot camp. They try to get reservists into their A school within one year. I can't remember if that's one year from sign date, or one year from graduating boot camp. Generally though, most of the reservists I know, including myself, had to go back to our units and drill for a few months before going to A school.
Bachelors degree will get you E-3. Once you're done with A school and have enough time in grade, you get to E-4.
Florida has a lot of units, so drilling in FL is highly probable. I have a friend who lives in Oregon but is moving to the east coast in July. She's a YN. There is a transfer process, I just don't know how that works.
Finally, I would start the enlistment process right away. Contact a recruiter and let them know you're interested.