1st check the voltage to the coil of the chattering contactor.
Low voltage to the coil can cause this. A drop in pressure from your "plumbing modification" may be causing the pressure switch to flutter causing this as well. If all checks out then replacing the contactor would be the next step. Please check the label for a part number, the most common used over the years is the
DPC-120.
Thank you.
Product Link:
http://www.actionsparepair.com/contactors.html