@Xferr: What are you talking about ?????
If the law school makes an exception for OP, then it should do so for all. If OP had submitted a completed law review packet electronically prior to the submission deadline, then OP can make a reasonably strong argument that the deadline requirement was satisfied. Moreover, if OP had the option, opportunity or requirement to file electronically in addition to a hard-copy submission and failed to do so prior to the deadline, then the car malfunction excuse is made even weaker.
P.S. You might want to check the definition of "deadline". Also, welcome to the real world.
This is the last time I'm going to tell you to read the OP. It says he jumped through hoops trying to get his submission in. They still said no. Again, he's not asking, "How can I get them to accept my submission?" He already knows he can't, so discussion on electronic nonsense isn't going to help.
The bottom line is that the best business decision the OP could make right now is to transfer. On one hand, he could stay where he is and deal with significantly limited career opportunities based on what he thinks is his school acting unreasonably. On the other hand, he could transfer, thereby opening those opportunities back up, possibly with an increased chance of success. The choice is obvious.
You're getting too caught up on the reasonableness of his missing the deadline. From what he said, sure, a car breakdown seems like a decent reason to miss the deadline. Maybe there's more to it that he's not telling us. It doesn't matter. If the OP gets some pleasure from spiting a school that he thinks wronged him, then good for him. It just adds gravy to the correct decision from a business standpoint.
Edit: Also, I don't know what "real world" you live in where shit doesn't happen. In the REAL real world, it does, and people understand that. Btw, look up nunc pro tunc appeals.