They'll be leaderboards (when I figure them out) and it'll keep a record of your top score.
That sounds cool, looking forward to seeing that!
Burns do heal them for sure.
In that case no need to remove burn, since now you really need to think about what you are doing :D
Fire Elementals don't drop Embers to heal other units if they are destroyed by enemies
I don't think so. At least that is what I believe happened. I summoned a pet right after I got the upgrade. He was killed by the Cereberus boss and it spawned an ember. I used the ember and it healed me. If I recall correctly, this happened in the arena.