need some help identifying a problem

hi there. this will probably be my first and last post on here for a while unless another problem arises
so basically, my dad driving, on the way home yesterday, when his car suddenly stopped and shut down
he had enough power left to get into a near gas station, but my uncle had to come down and help pull up my dad's car, but they managed to get it up anyway
my dad has tried to jump start the car, check the battery (still good), and the gas tank is still good and he still couldn't figure out the problem
we ended up calling a tow truck to pull my dad's car home because my dad wasn't able to set his car in neutral, but now my other uncle (a former mechanic) and my dad are trying to find out the problem, but don't know yet

sorry if this is a very lengthy post, but TL;DR:
•2009 prius suddenly stopped working
•good battery and gas tank
•neutral doesn't work
•has about 100k (100,000) miles on it

if anyone has tips, suggestions, or perhaps even solutions, please tell me! thank you very much

 

hi so my dad just went to autozone to buy a blue 15a fuse because the last one was..i dont know how to explain it but kind of looked dented or chipped off
also what is an inverter pump used for? ive never heard of those and it's probably gonna be hard trying to explain it to my dad in vietnamese via google translate or smth

 

thank you everyone for your help! we've ordered an inverter pump, but it hasnt arrived yet
is there a certain amount of miles needed to change the inverter pump or is it different from everyone? my dad would like an estimate before another problem like this happens