Can you try to start the Thin services manually? They should give you more information about what's happening. You will need to open a Command Prompt in the machine and run the following command
"C:\Bitnami\redmine-VERSION\ruby\bin\ruby.exe" "C:\Bitnami\redmine-VERSION/apps/redmine\htdocs\bin\thin" start -p 3001 -e production -c "C:\Bitnami\redmine-VERSION/apps/redmine/htdocs" -a 127.0.0.1 --prefix /redmine
Note that I used the default values, you will need to substitute the version in the installation path. You can get the exact command the process is running from the INSTALLDIR/apps/redmine/scripts/serviceinstall.bat.
Please let us know what you get when running the command.