That model of pump uses a 'bypass' valve to control low flow stutter .......
It begins opening at 40# and is fully open by 62#
If not properly set water WILL backflow thru pump when using city water source
HERE is a down/dirty method for adjusting Main and Bypass settingsCheck valve not fully sealing will allow backflow when on city water or when using pump
Many times just using pump will clear and debris holding check valve open.
Full tank...use it and then swap back to city water and see if you still get backflow thru pump