You can submit a final paper for a course you previously took. The sample is to show your writing skills, does not have to be a long article, some universities may specify what kind or even page limit so please check with the program coordinator. Also, some may have writing prompts for you.
I don't know but the paragraphs were not connected, and the reason for wanting to further your education was generic to an extent. I'll point out some of these to you when I get my free time.
I would strongly urge you to make an effort to get feedback from professors in your field whom you know. If you're going to incorporate the guidance provided by strangers, I recommend that you carefully weigh the feedback against the experience of the person offering the feedback. The fact that what I really want to do is direct should not obscure the fact that I have zero experience in film production and zero hours in film school when I give you a note.
In case you're pressing on this path, my two cents follow.
MOO, by leading with your "grade school...passion" and mentioning multiple moments of "discovery" your draft SOP suggests to me that you've drifted along the tides of an unfulfilling career as opposed to walking a determined, but winding, path towards an objective to which you're committed. Overall, the SOP reads like boiler plate with a place holder for the programs to which you're applying.
The description of your research interests is vague, especially given your professional experiences and your education. (Is it really accurate to say your education up to this point has been devoted to the technical aspects of production? Did you not have classes that discussed theory of any kind? As written, would your professors/instructors at Drexel and Quinnipiac find your read back succinct or dismissive? )
I recommend that you refocus your draft SOP. Please focus more effort on discussing, describing your research interests. Spend more time discussing how your professional experience and education inform your research interests.
