1. What happens, when my friend plays a Balance (3 lands) while I have 5 lands but Sacred Ground in play.
2. Same question for Balancing Act/ Sacred Ground.( probably the same)
Sacrificing lands to an effect controlled by an opponent triggers Sacred Ground, so you keep the land.
3. What happens when my friend plays Balance and I have Karmic Justice in play. Can I destroy 2 permanents of him ? ( assuming the situation above)
Balance and Balancing Act don't "destroy" anything, they just instruct you to sacrifice. Therefore, no Karmic Justice.