Look at what you wrote for the subject line of your post - "Adobe Reader does not install". Then in the body of the post you mentioned flash player AND reader. We have no idea which one you're asking about. Next time, proofread your post before submitting it.
When you install Flash, make sure you don't accept any of the garbage software that's packaged with it. There will be a couple of popup screens you will have to click on. If I remember correctly, you have to "accept", then "install", then "finish". Did you go thru all those steps?
I just looked at my "Add or Remove" menu & I have:
Adobe Flash Player 10 ActiveX
Adobe Flash Player 10 Plugin
Adobe Reader X
Adobe Shockwave Player 11.5