Safari 4.1.3 problem with HTTPS

[Anonymosity]

I am unable to get Safari 4.1.3 to access HTTPS pages. I cannot do any secure web access at all. What would cause that? I am stuck with using Mac OS Tiger on my old laptop, so the latest version of Safari available to me is 4.1.3.
How do you tell what encryption protocols are being used by Safari? I could not find any reference to that in the menus or the preferences.

UserAgent: Mozilla/5.0 (Macintosh; U; Intel Mac OS X; rv:1.9.2.26) Gecko Firefox/3.6.26

[Antony]

Can you list any HTTPS urls?

UserAgent: Mozilla/5.0 (Macintosh; U; Intel Mac OS X 10.7; en-US; rv:1.9.2.27) Gecko/20120216 AlexaToolbar/alxf-2.14 Firefox/3.6.27

[Anonymosity]

StartPage, StartingPage, and Ixquick were 3 of them. The problem was fixed when I reinstalled Safari. I decided to try that as a last resort. I was kind of surprised when it worked.

UserAgent: Mozilla/5.0 (Macintosh; Intel Mac OS X 10.6; rv:10.0.2) Gecko/20100101 Firefox/10.0.2