http://www.smogon.com/forums/showthread.php?t=57951
Look at the list of names on that link. If you are one of those people then they might still let you submit your paragraphs. However, you are about 2 weeks late getting in touch with anyone.
If your ARENT one of those people then you aren't able to obtain voting rights without writing Caelum and explaining why you think you should be able to allowed to vote even though you did not meet the requirements.(and I would guess you would have to give a good reason why you are so late getting in touch with them) Again, this is a very long shot, and unless they know you to be knowledgable of the metagame and an active player/ contributor, then I can't see them cutting you slack. (your post count and the admission you rarely are on smogon isn't helping your cause)
Again, either way its pretty late; it's probably too late tbh. For some reason, this whole process is taking forever so if you pm him and ask, then you may get lucky... my advice: dont expect too much, but I no one can say yes or no except the people in charge of the UU test.