Final answer:
The Taft-Hartley Act (LMRA) limited the courts' abilities to issue injunctions for peaceful picketing and payment of strike benefits.
Step-by-step explanation:
The legislation that limited the courts' abilities to issue injunctions for peaceful picketing and payment of strike benefits is the Taft-Hartley Act (LMRA). Passed in 1947, this act restricted many of the powers of labor unions, including banning closed shops and requiring union leaders to give advance notice before calling a strike. It also granted presidential authority to postpone strikes that might affect national interests for up to eighty days.