See the separate pages for Amapala, but this is a colonial era town that was also the largest port in the Golfo de Fonseca until the 20th century. The weather here is more comfortable than on the mainland. Besides the run-down colonial architecture and pueblo plaza, there are good seafood restaurants.
Its easy to hire a boatman for a ride around the island. We did so in the afternoon and found the best sunset photography on the Honduran trip. The volcanoes on the island are mostly dormant. You will see shrimp farming as part of the trip.
The only way I know of to get to Isle El Tigre is by the open passenger boat ferrys that shuttle people and belongings from Coyolito to various places on the Island, including the dock at Amapala. I do know that other boating trips in the Golfo de Fonseca can also be arranged, typically from Coyolito dock where the best supply of fuel for the boats is available.
For more détails on the Coyolito to Amapala ferry visit these pages.