Section 3. (a) Whether or not judgment has been entered in an action against two or more tortfeasors for the same injury, contribution may be enforced by separate action.

(b) Where a judgment has been entered in an action against two or more tortfeasors for the same injury, contribution may be enforced in that action by judgment in favor of one against other judgment defendants by motion upon notice to all parties to the action.

(c) If there is a judgment for the injury against the tortfeasor seeking contribution, any separate action by him to enforce contribution must be commenced within one year after the judgment has become final by lapse of time for appeal or after appellate review.

(d) If there is no judgment for the injury against the tortfeasor seeking contribution, his right of contribution shall be barred unless he has either (1) discharged by payment the common liability within the statute of limitations period applicable to claimant's right of action against him and has commenced his action for contribution within one year after payment, or (2) agreed while action is pending against him to discharge the common liability and has within one year after the agreement paid the liability and commenced his action for contribution.

(e) The recovery of a judgment for an injury against one tortfeasor shall not of itself discharge the other tortfeasors from liability for the injury unless the judgment is satisfied. The satisfaction of the judgment shall not impair any right of contribution.

(f) The judgment of the court in determining the liability of the several defendants to the claimant for an injury shall be binding as among such defendants in determining their right to contribution.