Hey, liking the new version a lot. Although I hate the game concept itself, you've made it playable and fun (somehow)
However, as a player, I have some suggestions:
I made a move at one point and realised it was a pretty silly thing to do so I started looking for an undo button. - I didn't see one.
I then saw the timer at the top (while looking for an undo button) this probably mean's its not visible enough for players to notice straight out.
(If you're thinking an undo button can mess with the timer, just make it so it resets the timer to the time the last move was ended.)
When I reached the point where I failed (I can't ever win at peg solitaire so I can't test that for you) I wanted to know how many pegs I had left, but I couldn't see because it cuts to the "You're stuck" page too quickly
Not a major problem but possibly something to watch out for in future projects: When I got the "You're stuck" screen, I read it straight away as "You suck". Now, while this was entertaining, I'm sure it's not the message you want to give to players (even accidentally) heh, so yeah, it's fine, just watch out for wording.
Some of these pointers are just for polish now if you really wanna make it user-friendly:
When I tried the help screen, I kinda expected it to be toggled on H, rather than having to hold a key while reading. :S
The 3 keys to change the styles seem somewhat improfessional (reminded me of the days before I learnt to make proper menus in DBP apps - everything was, Press 1 to play, 2 for help, 3 to quit at any time
I think in substitution some kind of screen off the main menu to change the themes would be better. - Either that to be really slick, have it so you can just scroll through some preset themes with the mousewheel (although I'm not sure how well that'll work for touch pads)
Some of the text is a bit misleading on the various menus:
"<Quit" on the game-choosing menu should surely be "<Back", the game doesn't actually close when you press it, it takes you back a menu.
"Quit y/n" takes you back to the main menu, where you then have to click quit again xD (This should also be something like "Return to main menu y/n?")
But yeah, if you think that's all a bit picky; it's just game crit. - I still like it, 't just needs some polishing up.