Your log is comparatively clean.
1. Is it only secure pages on those sites that you can't reach, or can you not even reach the home pages of the sites?
2. Have HJT fix:
O2 - BHO: rasmintr - {979518F7-955E-F863-ACBD-D776BD48656B} - C:\WINDOWS\system32\rasmintr.dll
O2 - BHO: Viewpoint Toolbar BHO - {A7327C09-B521-4EDB-8509-7D2660C9EC98} - C:\Program Files\Viewpoint\Viewpoint Toolbar\ViewBarBHO.dll
O3 - Toolbar: (no name) - {4982D40A-C53B-4615-B15B-B5B5E98D167C} - (no file)
O3 - Toolbar: Viewpoint Toolbar - {F8AD5AA5-D966-4667-9DAF-2561D68B2012} - C:\Program Files\Viewpoint\Viewpoint Toolbar\ViewBar.dll
O8 - Extra context menu item: &Viewpoint Search - res://C:\Program Files\Viewpoint\Viewpoint Toolbar\ViewBar.dll/CXTSEARCH.HTML
O9 - Extra button: AOL Toolbar - {4982D40A-C53B-4615-B15B-B5B5E98D167C} - (no file)
O9 - Extra 'Tools' menuitem: AOL Toolbar - {4982D40A-C53B-4615-B15B-B5B5E98D167C} - (no file)
3. Reboot.
4. Delete the entire C:\Program Files\Viewpoint folder.