You want to correct every single error that you can find.

You don't need to white out every page total...

Just add a new entry for each error, with todays date, add or subtract the error amount, and make a note in the remarks what the error was, and what date it originally occurred.

Your paper book and logbook pro should match exactly, if not try to figure out why and correct. Theoretically, with enough effort, you should be able to find all the errors...