(a) probably doesn't make sense because the next step in the process isn't synced up with where the show's production staff is. In other words, if there are no upcoming in-person auditions, there is no next step to schedule the person for. The regular J! online tests were months ago so that process may have run its course already. My own in-person J! interview was around Memorial Day a few years ago, so that time may have passed.
(b) doesn't make sense to me from a production standpoint - the regular J! option for the reasons discussed above and the Sports J! option because, as of yet, the prospective contestant hasn't demonstrated any actual ability in Sports trivia.
So that leaves us with (c), or as others have suggested, an option (d) - offer them the Sports J! test. But as others have said, there may be fairness questions there if you can't tell who got mixed up (although I would think that whatever system they use to process the results would make it fairly obvious) and would potentially be offering some people two shots where most people only got one. We also don't know how much it would cost.
I agree with those who have stated that the show has no requirement or obligation to offer a make up test. Sometimes things just happen. Kind of like the disclaimer on slot machines "malfunction voids payout." Even though you might be staring at 3 flaming 7s, if it's because the machine screwed up, you aren't going to get the jackpot.