You need a guide, there are several trails around. One starts in Red Ground, one is down in far west end. Get a guide.

Jog the sidewalk on the beach road. If you're trying to get "off the beaten path", make sure you're with someone you know and trust (can be tough for first time visitor).

Not sure on bird watching, maybe check out Royal Palm Preseve. It's officially closed, but someone will let you in for a few bucks.

Snorkeling; either the reef out off long bay, or Shark Reef out in Orange Bay.