How to get rid of double, triple quadruple loading of the emails which were already even deleted many times?

From like a week back or a bit more i finding a really annoying “feature” of mail client. I did many times mark the emails as read or even deleted etc. but now it again and again downloading the files which even on the gmail account doesnt exist anymore… How to stop this annoying behaviour?
Frankly if no solution by bye mail client as then it is completelly useless for me.
Client is running on Win 7 64bit. Using a two accounts - gmail and mine formerly work email. Work email now is not used (would be nice to teach the mail client to not trying to login to it, but still show folders as i am using them as archive).