Sorry for the late response but I recently bought an LG TV and am seeing the same issue with the BBC iPlayer app. Often it will pause with a black screen and the buffering animation; sometimes it will recover but other times it gives up with a "Something went wrong playing this programme" message and error code 02100. Once it has given the error message the only way I can get it to work again is to completely exit the iPlayer and restart it.
I suspect a bug in the app.