#1
I'm looking for any advice on what electric to buy, which would be my first electric. My budget is at most $800. I play pop punk to metalcore/hardcore, and I live in Florida. I've already been playing an acoustic Gibson Dove for a long while.
#2
I'd suggest getting something pretty versatile in this case. Go for an Ibanez RG/S or a Schecter of sorts.

www.ibanez.com
www.schecterguitars.com

Browse the site and see if anything tickles your fancy.

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#4
Highly recommend a Hagstrom. Especially a vintage super swede. I payed $800 Australian for mine and i love it. Super versatile and awesome action. IMO one of the best guitars available in your budget.

Check out the UG reviews for them:
http://www.ultimate-guitar.com/search.php?s=hagstrom&w=reviews

(The super swede and swede are now known as vintage super swede and swede - just to avoid any confusion)
#5
More information.

What type of bridge?
What type of neck joint?
How many frets?
What pickup layout?
What woods used?
Anything else you need?

Though for a first electric guitar you should definitely check out the Fender MIM Fat Strat. It goes for around $550.