Try doing a complete clean reinstall of Java by following all the steps here:
http://help.ea.com/en/article/how-do-i-perform-a-clean-re-install-of-java-uninstall-and-re-install/
Afterwards, make sure that the Java plug-in is enabled for your browser:
http://help.ea.com/en/article/how-do-i-enable-my-java-plug-in/
Once you've done all that, try loading the games again and let us know how you get on.
If that doesn't resolve the issue, please click on the following link and then ‘copy and paste’ the displayed results into a reply here. This will give me a general overview on your computer set-up and hopefully give me some pointers to help: http://systeminfocheck.appspot.com/
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