Sounds like you need to purchase the laserjet 1020 maintenance kit. It has these replacement pickup rollers that are supposed to be replaced after x number of years/x number of prints.
Another thing I've been told by a manufacturer: paper quality is apparently the biggest factor in longevity of a printer. To the point they custom order "the worst paper" for testing purposes (which apparently a speciality paper mill agreed to do, but absolutely refused to put their name on).
I don't know the specifics of this, beyond if you buy the cheapest paper you can probably expect your printer to jam up sooner.
Used to work for a BigCo printer maker. This is true. You wouldn’t believe the things people print on, there are racks and racks of weird papers from around the world. Tested at different temps/humidities (matters for the electrostatic process in laser printers).
I spent a "happy" 20 minutes peeling semi-molten polyester labels off a fuser belt a few months back. (Lesson learned, I duly told the machine it was printing on a thinner paper stock, and ran the rest of the job without issue...)