Does everyone clean the rear lens routinely with the front glass?

Any suggestions on how to reach the rim of the rear element?

What lens cloth types?

Routine cleaning of contact points.

Suggestion on how to deal with lens fog when changing temperatures and humidity: lens fog lasts forever it seems like.
Anyway to speed up the process?

PS I do not routinely use a clear or UV on any of my lenses. Reason: I really feel there is a loss of sharpness.