With Windows 10 and the version you shared, you have access to the Universal version of OneNote. However, sometimes your cache or other files can become corrupted and prevent you from signing in to OneNote.
Have you tried to reset OneNote. This is relatively simple, and you can do it by following these steps:
Note: Make sure all of your notebooks are available via mobile / online before the reset.
- Press Windows Key + I to open the Settings app. When the Settings app opens, navigate to Apps section.
- Select OneNote from the list and click on Advanced options.
- Now click the Reset button. Click the Reset button in the confirmation dialog to reset OneNote.
Now you should be able to start OneNote without any problems. After doing that, sign in and then go to 'More Notebook' section and you should be able to access your older notebooks and you synced.
If this doesn't help, do you have both accounts 'work/school and personal' configured in Windows 10 settings?