What are the steps you've done?
Wich Version of WB did you Transfer to the new Server?
How did you transfer the files?
Did you make the Upgrade to WB 2.13.3 on old or on new Server?
As you have acess to backend, the database connection seems to work.
Are in the config.php all Pathes correct? You use a domain without www, what is the entry in config.php?
Did you use a .htaccess file? What are the results without a .htaccess?
You can try the following.
Again upload the WB 2.13.3 (r166) Package and the unzip.php to your server and start the unzipping and upgrade Progress again.