Points? You can't get some "points" then become a hair dresser. You can look online to see how many hours you need as far as your state is concerned. In Arizona you need 1600 hours, other states are less, more or the same. Depends on where you live.
a plane is any plane surface it usually have 3 or 4 points * * * * * You need only three points provided they are not collinear. And most planes have infinitely many points although there are geometries with only a finite number of points.