So it prints the self test (test page) or not?
If nothing is printing from at all (printer moves likes it is printing when in operation, but no ink hitting paper) there may be a blockage on the jets or the information is not getting to the printer properly if these same cartridges work on another printer.
I would lift lid and carefully check each one and wipe with a thin cloth the remove any clotted ink and dirt.
You have already reinstalled the drivers, but I would get the latest ones you can from www.hp.com
Finally I would cold reset the printer - usually holding the go button pressed in while hitting the power button on and off - will reset rthe calibration and give you a better chance of fixing.
Also if you have the cartridges for the wrong model, they may physically fit in, but the chip on the cart will tell the printer theres a problem and won;t print.
- Check cartridges - off the top of my head (please check!) you should be using HP 45 for Black and HP 68 for Colour (if using a different brand, fine but the numbers are thee same)
- Download latest drivers
- Cold reset printer and install again