The fuel system works correctly. You need no pumps on to run an engine.. Remember the Fuel tanks are above the engines, and Gravity does it's job. It's the way the C130 is designed.

I cannot make too many comments on the electrical system apart from the radios being off and still hearing ATC is a 'feature' of FS. Not a design fault

On the hydraulics: Remember that there are several levels of redunacy on many of the systems.. Also that a total failure of Hydraulic pressure will still allow you to fly the AC.