Screws cannot be removed

Noel8

I went to Home depot and there was not one employee there to ask questions. I saw this single spiral extractor by Ryobi and on the list it says #1...which means nothing to me. On one end, its threaded, but a passerby said I would need a drill bit in order to use this. I do have drill bits of all sizes....It does say to use a 7/64" drill bit...that I understand...but it goes on to say to use it with 1/8" to 1/4" bolts and screws. Now, i do not know what that means as far as the screws i have taken off. I am assuming that the screws are standard for outside screen doors? It also shows 3 demonstrations on how to use it...one is with a drill, the next one shows hitting it with a hammer, and the third shows turning it with a wrench. I don't get the hammer demo?