Well Blitz was a circus performer so he likely got his moves from there and he also worked as a body guard for his old Ex Verosika before becoming an assasin so he likely got his fighting skills from that and we saw him improve his fighting skills over the course of the show. Compare season 1 episode 1 Blitz to Blitz now he improved a lot.
Barbie had a asmodeon crystal which allows her to go to the living world and have a human disguise to. I hope that answers your question about her human disguise. Also at the end of the episode one the whiteboard you see Loona stabbing the doctor from Western energy and you also see a sketch of the syringe of the hellvies shot to so i assume not much time has past since episode 4
This is great insight! That does answer our question, also, that's a great observation you made on the whiteboard at the end. You're quite the eagle-eyed viewer, maybe on a re-watch we could have picked this up but alas this was our first watch ;)