Random Spawn each time?

Your player Character gets created automaticly if you setup your Game Mode correctly. Simply Teleport to Location of one of your Target Points (you got the Random thing right already). The way you got it now it will Spawn a new Character but you never possed it.

And just to be sure Connect the Wires (white) I assume you left them unconnected for Demonstration purpose :stuck_out_tongue_winking_eye: