Can't answer very well, but for starters...

I am doubting snow shoes would help that much. The guiding companies take people up fairly regularly, so there should be a boot track.

Weather: You will just have to watch the forecasts. The weather page (link to the left) has good links to check. If weather is mild, 3-season tents would work. Otherwise...

When sleeping on snow, I'd say both foam and air. Maybe others more experienced will say something different.

Unless you head up in a storm or just after, you should be ok with avalanche risk.

Take pictures! I'll help you post them here.