Not sure about your contacts issue. johncal's post is definitely relevant about the screen sensitivity. For what it's worth, try recalibrating the screen...Settings | Display and Light tab | Align Screen.
The browser "jumping" issue is a pain. It seems to be because the page is not completely loaded at the time you start to move around. Strange but true! I either let the page completely load or I stop it from downloading anything more and start to move around the page after that.
Can't help you with QMenu sorry. All I can say is I did not like the stock Omnia Touch Wiz and today screen (and memory issues!!!). I flashed to a
custom ROM soon after getting the device. I use SPB MobileShell and
Naong's MobileSense add-ons for it. I love this device now. It'll last me until WP7 catches on -lack of apps
-or I perform the ultimate sin and jump ship.