Do Club Deuce, oldest bar in Miami. Al Capone drank there during Prohibition and the neons inside were put up by the crew for the TV show Miami Vice. I think it's on 4th street it's near Ocean Dr. on the beach. Look it up I can't remember how I got there.
Do Cavalier and get the mojito. If you can get a room there even better it's on Ocean Dr. Do Mangos. Clevelander is overpriced and they have like a 50 dollar cover charge for guys on Saturday nights but if you're reasonably attractive you'll probably bring home an 8/10 and get your nuts off. Definitely do Wet Willies. Get the Attitude Improvement and the Call-A-Cab. Food there isn't bad either. E11even is fun it's got nude male and female dancers. I've never been inside but heard it's good. Lincoln Ave. has good food up and down, there's a strip of restaurants where cars aren't allowed. Sushi Samba is nice if you're into that thing. There's a few good Thai places too on Washington. Club B.E.D. is overrated.
I don't know how long you will be there, but if you have time look for the Aerojet test facility if you're into abandoned Space Race relics. It's a bit of a hike you will want a bicycle. Google will turn up its location.
Key Biscayne is fun but expensive. Parking will be a premium anywhere. The Metrorail will get you around the entire Miami-Dade area and it links with Tri-Rail so you can go north to West Palm (do Respectables if you do) if you have no wheels. 5 bucks to ride all day. If you have the time, go to Key West. It's 170 miles from Homestead. Leave early AM if you're not off the mainland by 9pm forget it. Tourists clog up US1 and it's 2 lanes and the only way in and out of the Keys.