A bit. It is a mood stabilizer, but not a great one. I like it for pain and anxiety, but would rarely prescribe for just andiety.
Not indicated but. As a secondary effect, Gabapentin may cause mild to moderate sedation.
No. Gabapentin is indicated for seizures, painful nerve diseases, restless leg syndrome, and hot flashes. First line therapy for general anxiety is either a selective serotonin reuptake inhibitor (ssri) like Prozac or a serotonin–norepinephrine reuptake inhibitor (snri) like cymbalta (duloxetine). You should see your family md for help with anxiety.
No. I've not consistently found it to be.