As far as IE addons are concerned, you have Yahoo Toolbar, RealPlayer plugin, Avast! WebRep, Bing Bar, and Java's plugin. If the machine were mine, I'd remove (via Uninstall a Program, in your Control Panel) Yahoo Toolbar, RealPlayer, and Bing Bar. The toolbars really don't serve a purpose that most people find necessary, though you may wish to leave one installed that you use regularly.
RealPlayer, unless you use it actively, is probably best removed because of the addon and extra software it runs at boot, considering it mostly just replicates functionality that Windows Media Player can already accomplish. If you use RealPlayer regularly though, feel free to leave it.
Another thing I should ask about is whether or not you use the parental control feature in Internet Explorer? It appears to be enabled, and could possibly cause some small issue by virtue of being just one more bit of software running when you use IE, though I'd leave it enabled if you're using it.
I think I'd tackle your Internet connectivity right away, to be honest. Find out what you should be getting, report what you are actually getting, and see if anything can be done about it.
Feel free to utilize more of my patience. That's what we're here for.