I think I finished season 1 of "Beyond Paradise". There are only six episodes, and I don't believe there will be more until Season 2.
That said, I went to "Death in Paradise" and started with Season 3, which is where DI Humphrey Goodman joined the cast...in episode 1, no less.
Have watched two of those episodes and they are very good, indeed. I love it when I discover that a show I have been avoiding on PBS for many years is really worthy of my time and interest.