I am thinking about Compressor Stall. This was a common problem with Hornets when they first joined the fleet. Considering the altitude, it could have been caused by a bird ingestion. When that happens, it is possible for the larger compressor blades in the F404 (engine) to shatter, and that can cause them to break away, go flying through the airframe and cut control and hydraulic lines. It is the most common reason for Hornet mishaps after pilot error.
I caution though, that this is only speculation.