I would think -- and I admit I'm no physicist -- that it would depend in what direction it's hit. If it's hit directly from below, that might blow the debris back upward. But if it's hit obliquely from behind -- ideally behind and above, it they can target the missile that precisely -- then it would drive the debris downward, where it will burn up in the atmosphere.
Yes, but even so, the point of impact would be part of the new orbit, and it would be down low in the atmosphere. So the pieces would deorbit relatively quickly.