A working capacitor should have infinite resistance to dc current flow, you should see the resistance increasing from a low resistance below 100 ohms to infinite .
A good capacitor should not have continuity between it's leads, but please note that when testing a discharged capacitor you should see the resistance increasing from a hundred ohms to infinite on your digital multimeter.
Yes
The capacitor should not have been damaged.
It might work.
While trying to measure voltage from a capacitor I didn't properly read the intructions and connected both ends of a giant filter capacitor (it 's for 180Uf, 400V) to the multimeter...while the whole curcuit board (from the monitor) was plugged in. So there was a huge spark and it shorted out. That caused the fuse to blow and now there are dark areas on the board at both pins , but the capacitor itself looks okay. Is it possible it can still work? I can't tell yet because the monitor wouldn't power on even before this accident but now im not sure if I should replace the capacitor too...