Having you also scanned your computer for viruses, trojans, and rootkit infections?
It sounds like you could have a
trojan/backdoor program.
I had one a few weeks ago that was trying to send information from my computer out to places in Asia and Europe. My Norton keep blocking it, but it eventually destroyed my harddrive/computer and I had to get a new computer. The trojan infection logged me out of all of my accounts on my computer (including this one) and when I would click on a link at a search engine, it would send me elsewhere. It also changed the advertisments on this site from the usual hair advertisments to chasebank.
I keep my Norton running at all times and keep my internet security running at all times but some things Norton can't pick up. My Norton didn't pick it up and I had to run another spyware program. After deleting the trojan (can't remember the exact name), Norton found two more viruses including the backdoor trojan. A few days later my harddrive was gone and I couldn't even turn my computer back on. Once you have a backdoor trojan, even if you get rid of it, you computer may never be safe again. Be very careful what you download; I used to download lots of music and picked the trojans up from Limewire.
I would run a virus scan. Also, some of these backdoor trojans/viruses could steal all of the passwords stored on your computer and even gain access to your bank account if you pay bills online.
You can pick up these by downloading music (I got mine from limewire), videos, or just visiting unsafe websites. Norton scan may not even pick up some of these and you may need a spyware blocker/scanner to find these. I've noticed that alot of these ip addresses lead back to places like Hong Kong, China, and Russia that's what make me wonder if you have a trojan/backdoor virus/ rootkit infection that's just trying to gain access to your accounts.