For moving a wallet you need to use the backup because there are important data in the DB folder required for the internal wallet.
The seed is just for emergency, but no worry if you don't have a backup you will get out your BTC as well.
But before explaining that, let me know if you still have the original on the laptop. If so make a backup then use that backup as app data folder in the server. The u should have no issues at all.
Note that you should not move back and forth, or if u do, take care that u dont mess up. They are not synced.
If you want to open the data directory manually can find it under those locations:
Mac OSX: /Users/username/Library/Application Support/Bitsquare
Windows 7,8: C:\Documents and Settings\username\AppData\Roaming\Bitsquare
Windows XP: C:\Documents and Settings\username\Application Data\Bitsquare