1993 Nissan 300ZX need help

Just buy the car not to long ago. Drive it to work one day, came back out from work to go home and the car wont start. All light and power work, but while I trun the ignition" nothing" no sound are crank. All the checking light is on" light, brake, battery, engine". So I think it could be the starter. I try jump the battrey it didnt work, give the starter a tap it didnt work. Can the starter be bad are is there other problem. Not sure if the fuel pump is the problem. But it wont start. My last idea is to push start the car