Just use an ohmmeter. Check for continuity with the points closed. High resistance means they are glazed. Or burnt.
Using a points file or even sandpaper is a quick fix when you're broken down or you plan on replacing the points anyway. When I was 16 years old making $1.25 an hour & a set of points cost $1, I filed points. I must have been good at it because I recall it was almost a weekly exercise. If you ever file a set of points, you will remove the metallic coating on them & reduce the life span considerably. Unless you plan to keep on filing them, plan on replacing them pretty soon! Usually burned points will have pits on one side & raised areas on the others. Sometimes they just wear unevenly. They will most always discolor as they have a coating on the surface. The usual causes of burned points are absence of cam/wearing block lubricant, condenser failure, a decreasing gap caused by wear on the rubbing block, mis-alignment, sanding w/ a point file, excessive current, setting an incorrect gap, leaving the ignition key on w/ the points closed, use of incorrect cam lubricant & poor quality metal. I've heard of points being welded shut, but I've never seen it happen.
The trick to points lasting a long, long time is (at least) annual maintenance. No matter how well it's running, check the gap & put a dab of points lube on the cam. Not bearing grease or Vaseline; use the correct lube.
Correct points installation & gap is also important. Make sure the blade is at a perfect right angle to the points & you want to feel just the slightest bit of drag when you pull the blade through the points. Make sure the blade is clean & that you dress the new points by running some card stock or a piece of brown paper bag through them. Check the gap on all four lobes of the cam. Make sure the points align correctly. Proper alignment is also critical to longevity. Look at the points when they are closed; both sides should mate evenly.
You can change points everyday & it will not fix bad bushings. If you are having trouble w/ points failure, check the shaft. If you detect movement, chances are it needs new bushings.