A quick look through the log shows me multiple trojans on the system AND you are not running an anti-virus program or a firewall.
You need to go to READ ME Before Posting A Request For Assistance!
Follow ALL of the steps there, including the online scans. Have all the scans fix whatever they find. Once you have completed ALL the steps given there then run a new HiJackThis scan and post back here with that log and any other logs generated by the other programs and we will then determine the next steps needed. Be sure to have all others fix whatever they find. This is a very infected computer so I would not recommend any just "general surfing" or emailing until the computer is clean.
Judy