Dear Doc,
I experienced a similar problem as yours with my GK Goldline 500. The volume would drop significantly and seem to come back at random times, however, I discovered it was a problem with my connection-particularly, my instrument cable. A volume drop would indicate to anyone, IMHO, that there's either a decrease in signal reaching the amp or a decrease in signal reaching the speakers, which in the easiest case means a bad connection or cable somewhere. Of course, that's just a first guess. There are lots of other, more complicated things that could happen, but knowing GK, lets go ahead and assume its your connection. Have you tried wiggling your cable around to see if that makes a difference? Perhaps something might have shorted in your guitar (this would also cause some crackling noises)? The goldline series is indeed made in China, but from what I've read, Mr. Gallien has put in a lot of effort to oversee that all his products coming from China are in fact genuine GK products, made with his exact specifications and designated parts.
I would try cleaning out your connection ports with a dry, lint free cloth. Go ahead and give the ends of your cables a good cleaning too. Make sure the power supply you're plugged in to isn't something of ancient origin.
If all of these don't help, I would try different instrument and speaker cables altogether, and if you're still having issues, contact
brian@gallien.com - He is THE man to go to when you have a GK issue, as many of us faithful GK users know.