The back button goes back 2 pages, when choosing a bookmark the item under it (on the desktop) is selected
After upgrading to 3.6.11 The back button sometimes goes back 2 pages, The Bookmarks window just flashes when trying to open it, when it does stays open if an item is selected that item is not opened, the item beneath it on say, my home page is opened. I saw there were some Google related problems in your trouble shooting section, I got rid of the Google stuff but the problem remains.
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Your above posted system details show multiple Java Console extensions.
You can uninstall (remove) the Java Console extensions, you do not need them to run Java applets.
See http://kb.mozillazine.org/Java#Multiple_Java_Console_extensions
Start Firefox in Diagnose Firefox issues using Troubleshoot Mode to check if one of your add-ons is causing your problem (switch to the DEFAULT theme: Tools > Add-ons > Themes).
See Troubleshoot extensions, themes and hardware acceleration issues to solve common Firefox problems and Troubleshoot issues with plugins like Flash or Java to fix common Firefox problems
If it does work in Safe-mode then disable all your extensions and then try to find which is causing it by enabling one at a time until the problem reappears.
You can use "Disable all add-ons" on the Safe mode start window to disable all extensions.
You have to close and restart Firefox after each change via "File > Exit" (Mac: "Firefox > Quit"; Linux: "File > Quit")
I started Firefox in safe mode, Disabled all add-ons and removed all themes except the default theme. The problem continues. On my homepage I have arrow buttons to scroll through a series of 5 stories. Pressing the button sometimes moves ahead 2 stories. It doesn't happen all the time, maybe 1-2 times out of 10.
One other problem that continues that may be helpful in finding the problem, When I click Bookmarks, many times the Bookmark window flashes and doesn't open. Sometimes I have to click it 3-4 times until it stays open. Thanks Rick