Firstly, thanks for doing a video of your play test, I really apppreciate.
For the set up, the ship markers are double faced.
For the whole rules, you got everything correct. Concerning the damage token shows an arrow that points toward the current status of the Battery, ie one of those numbers indicated around the battery square on the map. Ex : Kim Kahle has a value of 8. Once hit, you place the marker in the square, pointing toward the value 7. Another hit and the marker is turned to point toward 6. And so on till you ends up on Disable.