Thanks for playing!! Yeah I found it working surprisingly well on touch devices, I will probably update the game post-jam to enhance mobile experience.
You can move barrels around even when the menus are shown, it's actually by design ;), we thought it would be fun to be able to move things when the clock is not ticking, as well as giving the player ability to still see/interact/screenshot her last game, making the menu screen more dynamic, and it's part of the reason why the menus are small actually.