That tells me that you have a passibility issue with the tileset for that map.
If it was just that, the character would be able to turn, but they can't turn either, which indicates an autorun.
OP, how are you accessing menus? Is it just the Escape key via the standard logic, or do you have a parallel process somewhere that's monitoring for a key press?
It's common for the character to not be able to move, but to be able to turn, and to activate the menus, and in that case it's usually a tileset passage setting.
It's also common for the character to not be able to move OR turn, and to NOT be able to activate the menus, and in that case it's usually an autorun issue.
I've never seen the situation before where the character can't move or turn, but you can still access the menus. Which is why I wonder if you have some other system set up to call the menus.