Yes. While you are awake, you may be sedated. During the procedure you will need to look at a light, which is why you cannot be asleep.
Yes. Yes. You are awake but are usually sedated with medication.
Lasik procedure. You are awake for all forms of laser vision correction, eg lasik, lasek, prk, your eye is numbed with anesthetic drops, you need to fixate on the laser, we have proven patient self-fixation is more accurate than the surgeon doing so because of angle kappa and the optical vs anatomic visual axis, sorry for getting so technical:).