1986 Nissan 300ZX

Engine Performance problem
1986 Nissan 300ZX 6 cyl Two Wheel Drive Manual 105000 miles

my husband replaced the alternator on our car because it was not charging, it would run as long as the jump box was hooked to it but would cut off as soon as disconnected. Well, since the alternator has been put in, a new fuel filter has been installed and fresh gas. Once it starts, it almost immediately shuts right back off. It wont idle at all. Are there any suggestions? At times we can hear the fuel pump come on, when we hear it come on, it will start but cut right back off but when we don't hear it, it will not start up, it just spins over. Is that a fuel pump or some sort of relay to the fuel pump?
October 1, 2009.

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