If you like that the hero represents the player, than having no dialogue is perfectly fine. Outspoken protagonists are a stylistic choice, but a default name is very good to have.
For picking rooms I meant unexplored ones that are close to the explored sections. This removes the need to backtrack since you know that the place they'll appear will be somewhere new. It also moves the game along a bit more so that players aren't just "farming scenes" by walking into snow all the time. I've always tried my best to link scene progression to game progression in my own projects so as not to incentivize that sort of play style.
Weather changes sound neat, I'm excited to see more of this game as it continue to grow!