No problems with that amp into this kind of speaker load, and you’ll have great sound and bass.
Is this size ok for the Kharma 1.0?Dunno, sorry, always listened to it in large rooms. Mind you, they are big so you’ll need to treat the room & engage in super-careful placement!
Is there any bass?Sufficient, I would say. I listen to classical and I could hear some of the cellos
I will be driving it with a BAT VK-500.Sounds good, more than adequate
are these a fatiguing speaker?No, not AFAI remember. They have a hard ceramic mid, however, that will screech on bad recordings