1) He shot the keypad assembly which likely contained the regulator. It disabled the safety mechanism.

2) The Blurrg is the only thing that would make it because the place was so remote that they wouldn’t be able to refuel a speeder and the terrain was so rough they couldn’t just walk. They’d die of exhaustion walking.

3) Taika Waititi has said IG-11 becomes a beloved character throughout the course of the series. He’s either being intentionally misleading to be funny or IG-11 is restored and becomes the Mandolorian’s partner.

4) I think he felt some kind of connection to baby yoda after being orphaned himself and living through a traumatic childhood.

5) I’d bet baby Yoda becomes a central character in the rest of the season. He (she?) is at the heart of the central mystery and tension of the story. The Mandalorian brings it along as he seeks to unravel the mystery.