Can a successful grant application be considered a publication in academia?
No.  Count them as part of your funding record.

Based on what you have said of your record, people will expect you to look for a job in research administration.  E.G. Vice President of Research, or Director of Research Facilities.

If you want to go back to teaching, the usual strategy I hear about in the news is to get an admin/leadership job and then demote yourself after a few years.