Thanks for posting.
To start, let's try removing the plist files for FileMaker Pro 11. Open finder and navigate to MacHD/Users/<your user>/Library/Preferences. Once there, find all the files that begin with com.filemaker and move them to the trash. After that, attempt to launch FileMaker again.
If it still fails, try uninstalling the program by dragging the FileMaker Pro 11 folder from the Applications folder to the trash. Then, redownload the software, reinstall and attempt to reproduce the issue.
Removing the plist files did not do the trick. Re-installing it seems to have worked, however.
Thanks for your help!