2014-09-20
Any spell you cast that doesn't have the type creature will cause prowess to trigger. If a spell has multiple types, and one of those types is creature (such as an artifact creature), casting it won't cause prowess to trigger. Playing a land also won't cause prowess to trigger.
2014-09-20
Once it triggers, prowess isn't connected to the spell that caused it to trigger. If that spell is countered, prowess will still resolve.
2014-09-20
Prowess goes on the stack on top of the spell that caused it to trigger. It will resolve before that spell.
2020-06-23
You draw a card and discard a card all while Jeskai Elder's ability is resolving. Nothing can happen between the two, and no player may choose to take actions.