http://puu.sh/nQQ38/b289d4d7ca.png
take a look in your "tf" folder. Delete the backup Lawena zip files like you see at the bottom in the screenshot. They contain backups of all files that can be found in "tf > cfg" and "tf > custom". Those cause the "files not replaced due to backup folders still present" error.
http://puu.sh/nQQ0m/19304282e0.png
move all the files in your "custom" folder to a new folder on your desktop so your custom folder is empty, then start Lawena and see if it can start tf2 without the 120 seconds error. If it has to back up less files it should take less long. Afterwards you can simply put the files you put on your desktop back in custom where they belong
If this doesn't fix the issue then the issue might be Lawena itself just not working on your PC for some reason I don't know