The affection levels of a troll's battle team are determined by the number of scrolls you have completed in their world. Stat listings provided are for max possible affection.
Rewards:
Defeating the troll will reward cash, tickets, 20 Dom Gems, or shards toward one of the guys available at that troll's tier level (refer to each guy's page or bottom of the world's page for more information as to which guy's are available at which tier).
Cash rewards are determined by a formula of ((Troll's Level x 100) + 500).