1. units assigning to the missions automatically. that is the main point of the game - player is just one of the many other pilots. Only trick you can try - enable "camcom" in INI file so you will be able to click on enemy objects (near the base where your helicopter was landed) and create missions, maybe it will be assigned to one of the new missions.

2. it's known bug but never fixed - usually I moved 5 meters away from landing pad right after engines was started.