Yes just park in designated area
Sure in an appropriate place
You absolutely can its well lit and people do it all the time .no laws prohibits it
As long as you are in a designated parking spot, LEOs won't bother you. Now if they see you there a couple of days, they may think you're living there.
Formerly both GA and FL posted 4 hour maximums in rest areas. Check for signs, haven't noticed them recently.
I would believe you can without getting in trouble. if I was you I would park in a designated area though, that you would feel safe and doing so.
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