Those look fine. I bet they'd grade if you sent them back in, if you're in a mood to send NGC more money. :/
Probably is easier to just resubmit. With PCGS if you get a TrueView you can use those to have them check and they'll say whether or not to send it back in if they agree its questionable enough for a look in person, I have no clue how NGC does it and their standard pics usually aren't good enough to tell small details. I would guess they're going to charge you return shipping if it doesn't change which seems like putting it in your next group seems cheapest and easiest.
No. That means that the person who picked up the mail and sorted the coins saw the original grade. The grader has no idea what the original grade was, and doesn't care. The inserts were used to update the census, and then trashed. As soon as the coin is cracked, the original grade means nothing. Even when a coin is submitted for crossover, the grade on the slab is covered over so as not to bias the grader.
This is exactly a part of the problem too, it costs you, an individual a whole lot more than a dealer or wholesale firm with a lot of volume regularly submitted to the graders, who has developed a relationship with the grading companies because of it and some degree of pull when it comes to disputing grading results as they are seen as an important source of revenue coming in to the grading firm. And when their fees increase, you know that those hit the individuals harder than companies sending in large numbers of submissions because they undoubtedly have negotiated better rates because of it. Ultimately, the grading companies rely upon every submission they get but the service is still more costly to the individual and more frustrating or damaging to them when something like this happens... particularly when they didn't even designate the coin properly on the original holder. That too is something you should always (and immediately!) complain about as it happens frequently. They do get insert information wrong, often. Best way to get them to fix these things is to immediate contact them when you receive such a problem and demand they cover the costs of the return. I suppose in your case now dealing with how to get these two Unc Details pieces back in correctly graded holders, you should wait until you are at a show and send them back in with another group of coins anonymously. Let us know how this ends up, what you decide to to and how they come back if you go through the pain of it again.