Could not find your exact model but here is a JBP71CK2CC parts breakdown
Replacement parts for GE JBP71CK2CC | AppliancePartsPros.com
You will have to call to make sure the part numbers are correct.
I assume that all stove top elements work OK
It sounds more like the oven's control/timer is blown.
You may also need to get a new faceplate on some units they are glued on with double sided tape.
I would unplug it and check for any scorch marks etc. in the control panel first.
Years ago when at the cabin we got hit with lighting, we also were not using the stove but it literally blew the oven door switch apart.
Scared the livin out of us.