Hey SILVERPENNY,
It sounds like it could be the relay but it won't be back near the fuel pump. I would try looking at the tank to see if something is loose.
The relay is the PGM-FI relay behind the left side of the dash.
Here is its location and wiring of the relay.
Please let us know what you find so it will help others.
Best, Ken
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Monday, December 12th, 2016 AT 3:04 PM