Aces do not count as their suit right now. I'm adding more events in the next update which will make things more varied there.
The five cards are kept in the discard pile. When you don't have any card left to draw, then you shuffle everything together.
Momentum has a minimum of 1 with the rules as written. This is on the list for clarification.
Good idea on a simple character sheet. I can throw something together for players with a little glider picture on it.