If it weren't for the unique circumstances surrounding the need for a shutdown, I would agree with the majority of answers that this wouldn't be feasible. People like to rebel, after all. But the new runic powers almost completely shut down that line of argument. For people that want to rebel - hey, they just got a new toy to play with. Maybe it won't be particularly useful; but on the other hand, it could be something really cool. You just won't know until you get a chance to play with it; and frankly, you might find that the need to enforce an official ban on driving might prove unnecessary, as people are checking out their new toys.
But of course you will have the other end of the spectrum, people that think the runes are evil, and will be insisting on controls, kind of like the transportation ban you propose. I think I don't need to explain why those people will be obeying the ban.
In the middle, you have the average Joe you isn't particularly interested in rebelling or controlling other people. The people who just want to get on with their lives. They will probably take a quick break to see what they've got, and then get on with their lives. They will probably be the group that wants to get on the road the quickest - so they found out that their new rune lets them levitate raisin bread, that's cool - now let's find something to distract the kids before the walls are covered in raisin bread. I'd say you can count on 5 minutes before, and 10 minutes after receiving their runes before they're on the road again.
Other people have places to be, meetings to attend - oh, wait, it's Saturday. Well, okay, deliveries have to be made. To people are going to be distracted. So they can take a
smokerune break, and listen on their radio or watch the feed on their cell phone for the all clear to be sounded that says civilization isn't ending today. That's probably not going to be an hour, though if the law insists, they'll be perfectly willing to doctor their logs to look like they sat out the entire hour.
Ah, planes. First things first: there's no way TSA is going to allow anybody on a plane without knowing what runes they have. Since there is no predicting what runes someone will receive, that means no passenger planes will be allowed to be in the air at that time, even before the government considers a ban on all travel during that time. Not that most people would want to be on a plane at that time anyway. And the airlines won't want to risk their planes. Will there be some difficulty storing planes during that time? Probably. But there won't be a complete lack of planes in the air - this window will be perfect for cargo planes. No passengers at risk, and the pilots have clearance to be in the air during this time of high alert. The only thing that could be a problem is if the runes somehow make planes stop working. Then there will be crashes, but the pilots should have plenty of time to bail or land without power, and any crashes will only lose goods, not lives, and should be out of the way.
Which leads to essential services. Essential services don't get shut down. End of story. Police, fire, emergency services, will not only be allowed on the street, they will be required to be ready to go. What? Your pregnant wife is in labor? The streets are clear, go for it; when the police stop you and see that you have a pressing need to be on the road, not only will they let you go, they'll probably be accompanying you for something to do. Other essentials, like long-distance trucking, can apply for exemptions if they feel a sufficient business need - but again, they're probably going to be playing with their new toy, so there's not going to be much interest. I mean, yeah, the employers will get the exemption, but that doesn't mean the drivers will be making use of it, unless they're really insistent on getting to their destination now.
But all told, the number of the drivers on the road will be cut way back.
One last thing - some answers have pointed to historical instances of attacks during expected shutdowns, suggesting that this would be likely to happen during this shutdown. NOTHING COULD BE FURTHER FROM THE TRUTH. Yeah, I'm a militant enemy of the state, and I'm going to launch an attack during the time when we have no idea what new forces could be in play, while my target is on high alert because they also don't have any idea what new forces could be in play? This would only not be an incredibly stupid idea if the runes were almost always lame and useless, in which case nobody would be shutting down in the first place.