What is a minimum YC application?

A friend and I are submitting a YC application and are starting to discuss things like equity, governance and so on.

What is the minimum we need to figure out before applying?

If accepted, we'd like to get as much input as possible about those decisions from the mentors at YC.. but we don't want to get dismissed because our corporate structure is half-baked.

We're not hopeless to the point that we can't figure out things like founder equity, but we're interested about things like alternate advisory boards, and don't want to make a misstep.

As a bonus question, it's unclear if our startup would be best positioned as a for or non-profit company. Is this a decision we could delay until after acceptance?