The cartridge cradle of my 3820 is jammed…will not move from home position on the right. Any fixes?

It is indeed a shame but there is nothing you can do. If it's out of warranty HP will not offer you any solution other than selling you a new printer. Consider the whole episode a learning experience. See my last post in this thread. If you get a DJ 6122 the cartridges will not be a loss.

I once got blamed for a DJ 3820 konking out because I had recently worked on the system that used it.

I repair printers for a living so casually putting them in the trash it not what I抦 all about. I encourage people to have their 'old' printers repaired because I genuinely believe it is a better value than buying a new printer, unless they need different capabilities. Why do you think I spend so much time on this forum? My only compensation is the satisfaction of saving repairable equipment from the landfill.

All DJ printers will eventually need service. I regularly repair models that are approaching 10 years old. All they generally need is a mechanical 'tune-up', but if the electronics has failed, fairly rare, they are instant parts machines. People will not spend $150-$200 to repair a typical inkjet printer.

The DJ 3820 was made for a price driven market, i.e. the customer wants a 'deal' and the seller 'throws in' a cheap printer with the computer. All HP and others are doing is filling the demand and making a profit by selling short-filled cartridges. If you have an argument with the repairability and reliability, take it up with HP. All I know is that you can't repair them without parts and/or documentation. Check for yourself.
http://partsurfer.hp.com/cgi-bin/spi/main?sel_flg=modinfo&model=DESKJE T_3820