Thanks for the feedback, and for taking the time to play the game :)
I agree with a lot of what you've put here, and these are definitely pain points for the game (the peasant dragging in general is weird sometimes, and click areas get blocked by invisible stuff sometimes...). Definitely something I'm working on making smoother - it used to be a lot worse lol.
As to the ore/bar/axe prices - yeah, I have been thinking about making the ore/bar prices lower - but as you say, it's kind of an extra perk to be able to sell them. The alchemist peasants won't alchemize those items, only the axe.
Dragging managers away is most likely just a visual bug, you will still be getting the boost. I'll add that to my list of bugs, thanks!
For mining/woodcutting being very similar, they are on purpose - but I have wanted to differentiate them a bit, thanks for the feedback.
I recommend prestiging if you haven't yet! Opens up a lot more options for the game :) and maybe alleviates your issues a little bit.
Any and all feedback is welcome - much appreciated!