Hi!
It happens quite often in matches i played in the arena:
1) Purify only heals me on my opponents turn. Shouldn't it be happen during my turn too?
2) By using Shard of Bravery I didn't draw any card. I don't know if my opponent draw any cards at that moment, but he definetly could have drawn two cards. I noticed this happening twice and each time my opponent has played sanctuary (i don't know if there is a connection, but it shouldn't)