Hi my name is ***** ***** I can assist you. When you mention that the desktop will not open, is this your Windows Desktop or the AOL Desktop? Would you like to do a remote session to resolve this faster?
Welcome to Justanswer.com, my name is ***** ***** I will do my best to assist you.
Normally, you update safari through your Apple menu, software updates.
However, since you are running lion 10.7.5, you probably have the newest version of safari you can run on Lion.
To update safari, you will need to update your OS.. Id suggest updating to Yosemite 10.10 and not going for el capitan 10.11
You can update by using an installer such as this USB http://amzn.to/1Ugf7V2
Or through the app store, and this link will guide you t hrough that process http://osxdaily.com/2014/10/16/os-x-yosemite-available-free-download/
Once you upgrade your OS, you can then update safari to the newest version available for yosemite.
I strive to provide great service, and greatly appreciate a 5 star rating clicked and submitted when you are satisfied.. I always answer follow up questions.Dustin S.Senior Technician and Network Switching Systems Operator / Maintainer.
Do you still need help with this?