Representing yourself is never, ever, ever a good idea. Not even if you are a lawyer (and if you were, you'd know this). "The man who represents himself has a fool for a client" is one of the few legal truisms that is actually true.
That aside, your argument may be "pretty clear and rational," but that does not mean it follows the law (which is rarely either of those things). Without a lawyer you have no way of knowing (self-studying law is a great way to royally fuck yourself if you ever try to apply it in a real scenario).
The argument is pretty clear and rational; unless the judge was in the pocket of the company on the other end of the suit (in which case you're fucked anyway), I think representing one's self would be pretty straightforward in this case.