Engine won't crank with key, but will if I jump the relay

quick test is put a wire on the NSS relay terminal and run in to negative battery terminal ....then turn key and see if it cranks...If it does your NSS is bad or shifter linkage is not adjusted properly or something wrong with the rooster comb in trans......but make sure car is in park or neutral so it doesn't lunge forward or reverse as this bypasses the safety mechanism