Not sure what you mean by 20 red files. The MBA-M scan you ran was a Quick Scan we clearly request a Full Scan.
I see nothing in your logs to indicate infection. I do see uTorrent, meaning you do P2P file sharing which is one of the easiest and most likely ways to get an infection. I can't believe you would even consider this on any computer, let alone a brand new one.
You say you are running Zone Alarm, is the built in Windows Firewall turned off?
What type of internet connection do you have? Having your internet turn off or kick you off usually isn't an indication of infection, it is usually either a problem with your firewall of a problem with the internet connection itself.