I just got the Immortal badge. Really depends on your build.
 
	I went afk on an ITF +4/+8.  Got it down to roughly 400-500 dmg/sec.
 
	Had a pocket emp with target heal on auto and radiation therapy on auto.
 
	Used 5 Bosses, 4 lieuts, and a surgeon.
 
	Still took approximately 50hrs for about 70mil of dmg.
 
	I just did it every night when I went to bed for about a week.
 
	 
 
	For the Jailed badge, start an RWZ mission and get about 4-5 chief mentalists, the lieut versions. You will be held.