My understanding is that the season is closed as of April 1st and can no longer be fished. However, you may still find lobster, probably frozen, until Apr 21 if they followed rules around declaring their catch prior to April 1. You may find places selling lobster after April 1 but they may be doing it illegally and should be avoided as I'm not sure how someone would know if declarations were completed.

For more info see --->http://www.moa.gov.jm/Fisheries/closed_season.php

I hope this helps.