It goes pretty much how I expected based on these scans.
I find Batmite pretty annoying just like I thought I would. He took a disturbing turn as he was apparently willing to kill Booster.and only failed because Booster can fly.
As for Booster apparently he already is a Time Master that acts like a screw up to use it as a cover? That was also in JLI with Batman. See canon is pretty messed up with Booster since the JLI Annual that pretty much ignored most of Jurgens JLI series. JL even had Batman act like they were fools despite the fact he was on the team and treated Booster with great respect. According to this version of Boosters' origin he's a thief (for reasons we were never shown) that was working for a man he never got to meet because he got sent to the past. He doesn't seem to know who Rip Hunter is so how can he be a Time Master, etc? He was honestly trying to be a good hero in Jurgens JLI.