This is great feedback! I have some excellent news for you:
1. Inspection: Yeah sure, I'll add it right now! This is the exact kind of thing we came to itch for.
2. End combat stats: This is incoming - but i'm not sure when. We really want this too: per fight, per day, and per run, and with different stats tracked.
3. We're looking to add new music, hopefully early next week.
4. Totally agree. This is something we're working on really hard right now.
5. It's on our list to rename characters :) We really want this!
We also want to bring in on so many characters that each character in your party will be a unique one, so your viewers wont be confused which is which. Like the Bees Master. We do a lot of pun-based game design.
Really happy that you love the game :D Makes my day to read.