Sorry to hear about your problems, I understand that you're frustrated.
By the sound of it, Pets isn't installed. Before you attempted to installed it, was your game version at 1.63? What I would do is manually uninstall Pets and download the super patch (regardless of whether your game is at 1.63 now or not) and then attempt to reinstall. I cannot guarantee it will work but I hope it does. Make sure you make a backup of your Sims files before you manualling uninstall as a precaution, put the file in an external location.
Out of curiousity, is your base game a download and your Pets a disc? (Or vice versa actually) http://sims3.crinrict.com/en/2013/09/dlc-compatibility-alert.html