I see you have norton antivirus in the processes. It might be the problem, look there to configure it for LW (in short you'll have to allow access to limewire.exe to the internet)
http://service1.symantec.com/SUPPORT...&osv=&osv_lvl=
Are you also positive you configured LW to connect on start? Go in options -> Connections-> the option there sould be checked and apply.
You have a lot of processes running I would recommend some things to you:
1)get rid of popupbegone and explorer and get a real web browser like firefox (google it, free)
2)get an anti-spyware program such as adaware or spybot (google them, they are free as well)
Bonne chance