Hi klipp
Might be easier to "walk" you through creating a printer as it seems something went wrong on your previous attempt(s).
With CUPS Daemon running and Printer powered on:-
1] Start Computer -> Printers -> Install Printer
2] Select Install a local or network printer (CUPS-based) and click Next
3] The "Create CUPS Printer" window should appear, select HP then select Deskjet 3630 Series hpijs and click Next
4] The printer should then be detected and displayed, make sure it is selected and click Next
5] Complete Printer Name and Location then click Next
6] The "Confirm Create Printer" window appears, Make sure Create Pinter is checked then click Create
7] Close the Create Printer dialog
You should end up with a printer with the correct driver for the Deskjet 3630 Series in the Printers folder
A simple test: open a browser and load
http://localhost:631/printers then click on your printers name. The next page has a dropdown box called Maintenance, select Print Test Page from that dropdown list.
Let us know if the above worked for you.
Pete