Your character and world data is stored in this directory (on Windows, at least):

C:\Users\<UserName>\AppData\LocalLow\IronGate

I've never used an internet café. If they automatically wipe such folders, you're probably out of luck.

If they don't, your data should still be there. All you'd need to do is go back to the café with a memory drive, jack in, copy your data across and paste it into the same location on your home PC.