American Airlines is still flying - we just flew AA from MIA to the Caribbean a couple of weeks ago and our flight actually took off a few minutes early.
You can check the the actual departure/arrival times for the Miami to Trinidad flight every day on the AA website - simply go to Flight Status and enter the departure and arrival airport. Check it regularly between now and when you'll leave and you'll know more about the on time record than most of the contributors on this forum.
