I was a long-time TC user too.
1) Those are not assigned by default, but all hotkeys in FP are reassignable, so you can create a setup very similar to TC.
2) This is a planned feature.
3) Not currently on the roadmap, but it's a possibility.
Only one single feature request: can you allow thumbnails larger than Windows sizes? https://ritt.app does this well with a slider in settings.
Really looking forward to the archive file navigation, and will use your tool. I am already sensing that the snappiness is pretty addictive, and it will be hard to go back to anything slower...
Keeping my fingers crossed for your product!