Your flight benefits are activated the first day of training...so you could go somewhere if you so desire. just make sure you get back in time
Oh be careful of that. Three inflight crewmembers were released during training because they used their ID's to go to Miami over a weekend. You're not a JetBlue crewmember until you pass training.
When I was hired 4 years ago I did a drug test at the interview and filled out my background info. The background check was completed while I was in training.