Ge profile stove jbp90g, bake/probe just started beeping/flashing

Hi Kurt, welcome to FixYA!
In the diagram below, Part #28 is your ovwn ignitor. (See the red markings to highlight it)
It is located underneath the oven floor, and the floor should come out by removing the two screws located in the bottom rear of the oven cavity. Take out the racks, take out those two screws, and lift the oven bottom up from the rear, then disengage the front lip and lift it out. I hope this is helpful info and thanks for allowing us to be of service to you.
to you.

Source: Bake ignitor Location

I had the same problem today (my wife overflowed a pot of chicken stock last night, so there was liquid all over the cook-top, and some probably got down behind the control pannel). Based on the solution to a problem that seemed similar, though definitely not as exact as your description, I checked the probe connection (unscrewed the retaining nut, then unscrewed the two sheet metal screws holding the housing in place, then gave the probe connection a gentle tug to ensure that it was still properly connected). Finding nothing wrong, I replaced the housing and retaining nut, and the lights were no longer flashing.

Source: probe light

Hi,
This "Tip" will help you understand your problem.

http://www.fixya.com/support/r3663023-oven_not_working_or_oven_not_heating

You can find parts for your unit by doing a search for “appliance parts”.
Once you get the results of the search, pick a site and when it comes up it will usually ask for the model number of your unit.
Enter your model number and you will then get a page with exploded views and a parts menu.
Find the part you need and then order it.
Check a few different sites to be sure that you are getting the best pricing.
Most sites can have the part to you in a couple of days.

I hope that this will help you to solve your problem!

Thanks for using Fixya!!

Heatman101

Source: GE profile gas stove: baking burners not lighting

What you need is a new clock control. About $200.00.

Source: GE Profile Electric Stove - Buttons for oven don't work