The most likely cause of ink rubbing off (in a dry ink system) is fuser failure; however, it sounds to me like your problem in this case is your stock.
The fuser is the component that melts your ink to 'fuse' it to the paper, making it permanent. When it fails, you will get residual image (ghost image, like when a faint copy of your letter head appears partway down the page) or unfused print (rubs off the paper). Fusers are like brakes and tires on your car, they are going to wear out and you are going to have to replace them. Many manufacturers make fusers that can be easily replaced by the customer these days for that reason.
But in your case, I suspect from your description of your troubleshooting is that your printer either cannot accept the stock or is not properly set. Some people try to use thick card stock that the printer is not designed to process, this causes jamming and fusing issues. Your user's manual or manufacturer's website should provide you a list of acceptable media (paper, transparencies, labels, etc.) that can be appropriately used in your printer. If (as a real-world example I recently dealt with) you are trying to run 80 lb cardstock and your printer is rated to use a maximum of 67 lb stock, there's your problem. On the other hand, you may be using an appropriate size stock but you haven't told your printer. To accommodate thicker stock, a well-designed printer will make adjustments to the fuser temperature and the copy throughput speed. Again, look in your user's manual or manufacturer's website to determine how to set your tray to the size and type of media you are using.
As I said, unfused copy would normally point to fuser failure, but as you have even gone to the trouble to get anther printer, it seems more likely that the stock is the issue. Check your recommended media list and try to stay well within the limits.
NOTE: I just looked at the HP LaserJet 1020 and the maximum stock it appears to be able to support is 43 lb.
Good luck. Source(s): http://h10025.www1.hp.com/ewfrf/wc/docum…