Also question is, can lightning travel in a vacuum?
Depends on what you mean by "lightning". Yes, because charge can flow across vacuum, but no, because you won't see anything. The visual effect that you see in the sky is actually a luminescent plasma that is left in the wake of the charge moving through the atmosphere. No atmosphere, no plasma, no light.
Similarly, is there resistance in a vacuum? There is no resistivity in the vacuum (resistance would imply dissipation and nothing dissipates in the vacuum). There is only impedance. The impedance gives you the ratio of electric to magnetic field in an electromagnetic wave.
Then, how fast does electricity travel in a vacuum?
You may be thinking of electro-magnetic waves. These range from radio-waves to visible light all the way up as far as X-rays and beyond. These certainly do travel faster in a vacuum than anywhere else: 299,792,458 metres per second.
Do electric fields extend through a vacuum?
1) YES, electric fields exist and can extend/propagate through a vacuum. Reasoning: Why not there is no difference between a vacuum and space just that a vacuum has no air in it. Vacuums are still made of matter so the electric field should still extend into that space. The vacuum is not made of matter.