No videos in your post. You'd know if it was rod knock. It's a deathly and constant (very loud) knocking from the bowels of the engine at all temps. These engines aren't known for that to be honest, extremely rare.......but on the flip side, if you have lost oil pressure from worn out bearings.......it's a possibility.
Maybe plumb in a mechanical oil pressure gauge into the oil filter housing to confirm.
Lumpy running on these engines is down to bad injectors 9 times in 10. Short journeys foul them up. These engines need frequent high rpm and/or high boost blasts to reduce carbon build up and injector clogging.
Also check the MAF with VCDS if you have it. The g/s value should fluctuate at idle. If it's stuck at the same value and no change in engine behaviour when unplugging it with the engine running, it's dead. Also check the long term and short term fuel trims to out rule any downstream (of the MAF) air leaks.
