I have a 96 too and when i took the pump out a few years back it was like new in there so surprised by its deterioration.
Solder joints are likely fine as long as there is no damage to the cables but a reflow wouldn't harm it.
Fuel pump ECU is behind the passenger side back seats, have you checked that, a spare would cost about £36 from Banzai breakers on ebay.
By
JaiKai ·
http://cgi.ebay.co.uk/nissan-300zx-wiring-loom_W0QQitemZ300397177484QQcmdZViewItemQQptZUK_CarsParts_Vehicles_CarParts_SM?hash=item45f1112a8c
Hope this helps someone..