NAD 3020 right channel crackling

Wait a minute - you changed the power transistors, right? I'm guessing 2N3055 type, because it is easily found. Note that the 3020 amp. is designed to use an old type of transistor known as Hometaxial type. Your replacements were probably the modern Epitaxial type but these require different bias settings and they they don't even sound right. It is possible to adjust the bias to correct level for the epitaxial type but it is not a simple process.

Fortunately there are already many threads here about this very common problem with ancient NAD 3020 model and related models that use the same electronics. Essentially, don't assume that every 2N3055 or MJ2955 is the same device. They have changed since RCA stopped making them, many years ago. ST Micro never produced that type but Motorola/ Onsemi did with 2N3055H, I believe. NAD had other manufacturers producing them but no longer.
Google "NAD 3020 power transistors" or similar - see what you find.
 
So, you've checked the pre-driver / driver stages (all OK?) and the idle current (bias) is good?

I have to think that bias current is not correct for the transistors to just heat up in seconds. The headphone jack just adds resistance (220 Ohms) to the headphone connection so the load to the power amp stage is reduced.

D606 (BAW62 fast switching diode), check this for failure?
 
Good news

To be clear 602 is designated as 2sc1400 on the schematic you linked. Are you saying it didn’t match schematic, previously replaced or you meant Q604 was the dead transistor? Want to be clear so in the future anyone reading this will understand your findings