Iirc, any vessel that trades with Cuba is restricted from trading with the USA within some time window. So clearly most Caribbean nations choose to focus their trades with the big USA partner.
Regarding human rights, as others have mentioned, we don't embargo countries that have far worse records.
The Cuban embargo is nothing but an antiquated relic of the Cold War that hurts the citizens of Cuba without having much impact on causing change in the government. And ironically it only serves to strengthen the government by giving the people an easy scapegoat for its problems.
Have you been to Cuba? I've been twice. Incredible experience and I highly recommend it.