Stoney, you won't be harassed by anyone.
A few years back, I had a nightmarish string of events coming back from visiting in New Brunswick that ended up with me stuck in Puerto Rico overnight after arriving on the very last flight into Puerto Rico from New York. (Fogged in for 2 days in NB ... long story)
I was dead broke due to circumstances beyond my control (my wallet was pick pocketed from my purse at JFK airport) ... so I had no cash and I don't own a credit card and my cheque book was in my wallet. Thankfully, I always have my passport, birth certificate and plane tickets in a separate wallet that hangs around my neck so that I am not always digging in my purse.
I had no money for a hotel and the airline insisted that my plight of being stranded was because of the "other" airline (American) and not them (Delta), so they wouldn't put me up for the night.
I sacked out on one of the benches outside, right beside a well-lit telephone booth. I was so exhausted, I slept well and although pretty stiff the next morning, managed to finally get back to Tortola, none the worse for wear.
I found it comforting that there are security guards patrolling the area fairly regularly. Nobody bothered me. Lots of people get stranded there, so I guess they are used to it.