I thought this was a strange episode until I saw the credits... and the name Patrick McGoohan.
A little research explained the strangeness. The Island is a take-off of the cult TV show "The Prisoner", with McGoohan. And wouldn't you know it, an obscure cable station was airing that very show! Viewing ensued...
I now understand every reference this episode makes. BUT, if you have never seen "The Prisoner", you will be VERY clueless. (Incidentally, there were no flamingos in the original, not sure where those are from UNLESS maybe Fantasy Island?)
As far as I know, this was the last role that McGoohan took, and I find it interesting that a man who shunned the press and seemed to want to keep his show's secrets secret, would lend his voice to his famous alter-ego once more, in cartoon form! I only wish he had been given more lines...