HP PRINTER/COPIER/SCANNER not fully working. See below (Chilcompton BA3)

This is an HP Deskjet 2630 (connected via wi-fi) complete with the mains lead and two well-used ink cartridges inside. The issue is that the A4 paper sheet always needs a push to get it going, so the paper feed system must be broken or in need of a good cleaning. I've now replaced it with a new HP printer. The device will scan and photocopy, but if you photocopy the same paper feed issue will arise. The inks I used were via the HP Instant Ink service, but this machine should work with any HP cartridges bought online. I had it connected entirely via wi-fi to my computer and the internet; it just needs mains to work. There is a socket on the back for cable connection but it's not a USB type, photo is attached. Dimensions are 42cm wide x 33cm front to back x 17cm high, the paper feeder adds 12cm. FREE to collect from my home, BA3 4XJ.