I would like to know where the fan relay is

Here is where most of your relays are, there is another relay box located inside the car on the passenger side under the dash. Sometimes youll have to take the glove box out to find the second relay box. This should have a cover on it sense most people do not know of this relay box its usually untouched. The cover will tell you what relay does what. But here is a pic with the relay center under the hood and should help you out.

Do a cylinder Leak Down Test-dry,then repeat wet

Injectors may be dirty & need to be mailed away for cleaning,
they could be stuck

http://www.autozone.com/autozone/parts/Duralast-Relay-Fuel-Pump/1994-Buick-Skylark/_/N-j0vmuZ8vdvu?itemIdentifier=221854_401011_10517_ The fuel pump relay is under hood, passenger side, rear side of strut tower, mounted in relay block on firewall corner.Click on link to see relay.

2.4L ? , its at the left strut tower under the hood, middle bottom relay. (black)

the computer

This car came with a 2.3L 4 cylinder or 3.1L 6 cylinder, so here's both, hope this helps you.

Look on the fire wall below the windshield,there is a long cover that needs to be removed,the relay is under there.

in the right hand rear of engine compartment behind strut tower

Back of firewall,second relay from the passenger side of the vehicle.

could be the temp sensor. i had the same problem with my grandparents car after they had the water pump replaced.