Went through and checked all 4 cases, 3 single gate stations connected to eachother, 3 gates on one station connected to eachother, 1 single gate connected to itself, and 1 single gate connected to nothing. The only one that causes what you are describing is the last one. Keep in mind to start a race you need a logic block connected to the racing computer you want to be the starting point.
Also you have to connect racing gate computers the same way you connect warp gates even if they are all on the same entity and that is using a Marker Beam tool: Right Click to mark, Left Click to input marked target.