My computer tells me internet explorer is not up to date and I need to install adobe flash player. Not true.?

I keep going to webpages that tell me internet explorer is not up to date, but when I click to update, Internet Explorer tells me I have the most recent version. Facebook this morning told me to update my browser. I often find that I have to go to compatibility settings and add the site that I am on to get the webpage to work correctly. And also, I can't play videos off of yahoo because it tells me I 'need to download Adobe Flash Player, but I have that as well. Any suggestions? Thanks.