Answer:
1. Federal Reserves:
Assets : $300
The Fed purchased these T-bills so they will form part of the Fed's assets as they are now owned by the Fed.
Liabilities: $300
Liabilities of the Fed will increase by $300 because the banks will deposit the money they got from the purchase in the Fed.
Commercial Banks:
Treasury Bills: -$300
The Treasury bills will reduce by $300 to reflect that the Fed purchased $300 worth of T-bills from the banks.
Reserves: $300
Reserves will increase because the banks would have made money from selling the T-bills to the Fed.
2. e. Treasury bills; Monetary base
Treasury bills are assets to the Fed in this case because as explained, they own these T-bills now after purchasing them.
The monetary base however, is a liability because it represents commercial bank reserves held in the Fed. They owe the banks this money thereby making it a liability.