As English is not widely spoken the first choice May be a ship's tour. Depending on what cruise line you sail upon, may affect the complementary transportation to the port building at the Marina and to Altos de Chavron, a recreated Artists Mediterranian Village. Celebriy, Carnival, Costa and HAL all stop at LaRomana which now has a new pier, so tendering is not necessary. Taxi's are available, too.
From the Constellation there are complimentary shuttles to La Marina and Altos de Chavron, but not much to do there but shop, and if you are in port on Sunday most of the shops are closed. I'd do an excursion through the boat. I didn't feel comfortable enough to do something unstructured.