Coming from someone who grew up in arcades, I would have paid a quarter to play this back then. But it has some problems. Forget the graphics, I'm talking gameplay.
All of the obstacles are presented from the beginning. You need to add them as you go along. And make it fluid level based, like every 255ft is a level.
Start off with just the icicles at the fist level, then add the thin ice, then the boulders. Throw in avalanches so you have an obstacle wider than the icicle but still falls straight down (maybe starts out thin then gets wider as it goes down the screen?) and maybe yetis in caves that throw snowballs at you. Just add one new obstacle each level until a certain number of levels has been reached. Then loop it: start with just the one obstacle, but speed everything up a bit. And keep doing that, over and over. It will be like an old arcade game, or a crappy gameboy game (hell, I still play Snood sometimes).
As for the powerups, that one that destroys everything? Why is everything destroyed? Make it fit the theme. What goes with mountain climbing? How about yodeling? Yodeling. What is the icon that gives you increased speed? It should be hot cocoa. And there aren't many pickaxes given out. The health came about in good fashion. But that's all I saw. Need more. maybe a rope? If you lose a life you start off where you picked up the rope instead of at the beginning of the stage.