Rammanlangit, I am going to have to expand the tutorial. It's not very thorough and doesn't go over too much.
But you want to turn everything off right?
For the purpose of this post I'm referring to the random events circuit as "cars" since I built this shortly after Road Rage 2.
The best way to do this is to pretend the two examples are stacked on top of each other so your player control circuit is at the bottom and the random "cars" circuit is on top. Connect these two circuits together with an AND gate at every intersection between the two. These AND gates will only activate once both the player and the "car" run into each other at the bottom. Then run a wire from the output of each AND gate together and back to the ON/OFF button for the "cars" circuit as well as all the reset inputs on the SR Latches for the player control circuit. Viola! Your game will turn off.
Of course, you will need to turn it back on too. That's as simple as running the wire from the random "cars" circuit to a single SR Latch on the 'S' input of the player control circuit.
As for movement in a circle, the example shown is already set up to do that. The only difference is that I chose to display the lights in a line. If you position the three lights in the player control circuit to form a triangle, it will appear to move around the corners of the triangle either which way you go. To get the impression that your character is moving in a circle, just expand the example and create more places for the player to go and position the outputs into a circle shape.
If you need more help, I'll work on showing you examples.