It's a little delicate, the CRT socket can usually open in 2-3 parts by un-clipping. Once you have access to the focus SG you can check if the arcing is happening there or in CRT. I doubt it is in CRT given picture symptoms and sound made, could be wrong, worth checking at least you get to see if SG is dirty.
If arc is in SG and SG clean, then focus voltage is probably too high or unstable.
I haven't often seen the focus potentiometers fail, most often they'll get dust contamination when not sealed.
You can't easily check the potentiometer with a DMM they're often in the 30-70M Ohm range and won't necessarily show the same behavior at lower voltages. Disassembly and cleaning is an option, beware not to loose the small parts...
The voltage multipliers do fail, sometimes you can see cracks in the body near the narrow part, the internal resistors that drop the voltage from the anode to focus voltage or potting around them can fail allowing the focus voltage to ramp-up until SG breakover.