I’m also getting this error and can’t see what’s wrong with any of the links.
There has been an error with the API: INVALID_DOCUMENT – The value for the property “URL” at line 1 and column XXXX is not valid
That is disabled, I never had it enabled, so that’s not the problem. Nothing else is set to change URL’s.
Resaving Permalinks setting didn’t change anything.
I continued to work on the problem and it appears the conflict is with the Yoast SEO plugin. When I deactivate that, Jetpack connects without a problem, I can see the dashboard, settings, etc. When I active Yoast, any of the Jetpack links go to a not found page.