jklein8708, no one else has jumped in on this, so I'll give it a try. First of all, it seems that all of your inputs into the receiver are not balanced. Your tuner, though, should be at the correct level, since it is internal to the receiver. Your cable box likely does not have a line out feature, and your receiver likely doesn't have a variable line in for the input you used from the cable box. Is it possible to adjust the line level from each of your audio inputs on the Rotel? If so, that would be the place to adjust your volume levels correctly.
Page 16 of the RSX-1065 manual (from Rotel's website) talks about setting the speaker levels, and that they revert back to their original settings when you switch inputs. Could this be what is happening to you?
As for switching to a specific volume level for each activity (for example, volume = 10 when you switch to Watch DVD, or volume = 25 when you switch to Listen to CDs), the Harmony can do this. From a quick read through your manual, though, the Rotel volume control cannot be accessed in this manner.
To other Harmony Nuts, here is the Rotel manual. Perhaps you'll be able to offer words of wisdom to jklein8708.
[Link: rotel.com]