In addition to the snowshoes, I would bring some other traction device ('pons/Stablicers), as there are some rocky scrambles as you approach the Iroquois summit that will likely require them, and snowshoes would be too cumbersome/clunky to wear through this section.
When we did Alg/Wright/Iroq in early Oct. '08, there was a few inches of snow up top, though nothing down at Marcy Lake. We had uninsulated hiking boots, which were fine, but there were some icy spots on the rocks where we wished we had brought traction devices. Given that it's the end of winter, I wouldn't be surpised if there was a LOT of ice up on top of Iroquois.
As far as the ice axe, tough call. Personally, I'd prob'ly bring it, just to have additional aids to get through slick spots, but YMMV, of course...