I appreciate the detailed information about your concern, Linds347.
I can only think of a reason why you're unable to edit or delete paycheck that's causing issue on your Balance Sheet. It could be due to the closing date set on the company file. Hence, you're unable to do any changes on the paycheck dated five year ago.
Here's what we can do:
After that, you can run the Verify and Rebuild again. If the same issue occurs, I'd recommend contacting our Technical Support Team. They can help you review and fix the error.
You can also give us the exact error message that's preventing you to edit or delete the paycheck. Then, we can review it on our end. Thanks in advance.