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The tub/shower can be fixed by replacing the tub spout diverter. I have found no rime or reason why some will do this and some won't. I have had to replace it a couple times to get it fixed.
The faucet is a problem I don't know if I have ever ran into. I have heard of turning on the faucet and the toilet making a noise like this.
Hope this helps on a Christmas Eve!!
Any other experts here please chime in about the noise with the faucet.
Have a blessed day tomorrow.