What is the ruling on dropping a case of assault and extortion after the perpetrators have been apprehended, and what is the ruling on the financial compensation decreed by the court?

Islamic law permits the wronged to retaliate in kind and reclaim their right, as stated in the Almighty's words: "Then whoever transgresses against you, transgress against him to the same extent of his transgression against you," and "The recompense of an evil deed is an evil deed like thereof." However, forgiveness and overlooking are better and yield greater reward, for the Almighty says: "But whoever pardons and makes reconciliation - his reward is due from Allah." Patience and suppressing anger are characteristics of the pious, as in His saying: "And who restrain anger and who pardon the people." As for taking compensation for what was stolen, that is your right, as is settling for money. If the court rules in your favor for compensation for the choking, that is permissible if it resulted in wounds or scratches. However, if it left no trace, there is no compensation, but rather discretionary punishment, as mentioned by Al-Shafi'i.