1. Players win on a tie. This means that if a player ties a monster's AC on a hit, it is a hit. If a monster ties a players AC on an attack roll, it is a miss.
3. Extended rests and healing - Extended rests heal all HP.
After the session, I checked the rules and it looks like I didn't need to house rule either rule #2 or #3. Resting is detailed on p. 18 of 'How to Play', and spell casting is detailed on p. 27 of the 'classes' pdf. Both #2 and #3 are RAW, so there is no need for house rules there.