Is there a way to force update of the notes app or calendar app on macOS 10.12.5 Sierra? I'm having a problem with the notes app and/or the calendar app. Is there a way to force an update/replace of either of these apps.  Maybe that will solve my problem.
Unfortunately, Apple does not offer any method of replacing or updating individual default applications. The only way to do this would be to perform a reinstall. Your issue is certainly unusual, but a reinstall will most likely take care of it. Note that a reinstall will not touch your personal data.