so that pretty well rules out that particular scenario. Yes, there is the possibility that this was a missile like an SA-7. If so, it was by someone who was poorly trained. At that phase of the flight, even if a missile had hit one of the engines, it probably would not have caused a crash because the plane is light and flying at reduced power. Planes are much more vulnerable during takeoff than during approach to landing.

It's even possible that the missile (if it was one) could have been one of those old Stingers we gave to the Afghanis back in the 1980s. If so, then it probably missed because the on-board batteries are long expired. According to reports I've seen, those batteries only had a shelf life of about 5 years. The missile is a sealed unit, so replacing the battery isn't a trivial task.

Quite a few airliners have been shot down by missiles over the years. Here's a list of incidents since 1975. If that link doesn't work, go here and enter missile in the keyword search.