I will sum this up in 2 quick and accurate ways:
1: Space is a vacuum. There cannot be explosions in space, as there is not oxygen in space, which fire requires. The movie Armageddon also got this wrong with their nuclear bomb detonation.
2: When you complete a space mission, you go into lightspeed. Now, the issue -- while in lightspeed, you can shoot missiles. The missiles travel ahead of you. Therefor, the missiles are traveling faster than you in lightspeed, and in turn, faster than the speed of light. This is impossible.