No experience with the GameStick unfortunately, but in relation to this:

@Dopy25 said in Gamestick (bluetooth) controller:

I also attempted to connect a PS3 controller, but after plugging it in to charge and running the setup for it, the original controller does not light up at all, I am hoping this is unrelated.

You cannot currently use the PS3 controller drivers and the normal bluetooth stack at the same time, so that may be why the GameStick no longer connects after trying the PS3 controller.

@BuZz said in Retropie 3.8 Bluetooth Configure Issue:

you cant use ps3controllers and the built in bluetooth stack at the same time currently. Known limitation of the ps3 pairing software.