whirlpool washing machine stops after rinse cycle, will not spin, and knob makes a noise
The most common reason for this is a bad lid switch. The drain function is part of the spin cycle, which will not start unless the lid switch closes a circuit to indicate that the lid is closed. If you are reasonably handy you can jumper the switch to prove this out. Since you already replaced the pump (which, by the way, would be the second most common cause of your problem) I would assume you are capable of testing/replacing the lid switch.

The "timer" noise you are hearing from the knob is likely normal, you just never heard it before because you never had to pay close enough attention to it before you had problems.