My '95 has the fuel pump relay on the strut tower, where the ABS relay is on that picture.
I had a heck of a time with my Spirit with something like this. Cranking but no start could be spark OR fuel-- pour a little bit of gasoline (like a tablespoon or two) down the TB and see if she starts. Ether, carb cleaner, they all work, you're trying to get something in there to turn the engine over on. If she won't turn over, no matter what you try, it's probably spark-related and could be a flaky Hall Effect sensor. If she turns over and then dies, it's fuel related. In that case, start on the electrical side. Pull the fuel pump relay and put 12V across the switched pins in the socket. You should hear the pump run and some whooshing noises from the TB and fuel lines as the fuel runs through them. If that doesn't give you anything, you can take the socket apart (there are small plastic clips holding the spade connectors in), clean the spade connectors, and pinch them a little with a pair of pliers to get a good, tight contact. If this still gives you nothing, check the bulkhead disconnect up behind the fuse panel to make sure the screw is tight. That did it for me. Then, probe the pump connector to see if you're getting 12V to the pump. Make sure all your connections are clean.
If you are getting voltage all the way back at the pump, or if it runs, check to make sure you're getting 12V on the coil leads to the fuel pump relay when the car is cranking. If you have voltage on the coil leads and the pump works, the fuel pump relay would be my first bet. However, it's a lot more likely that you disconnected something and forgot to reconnect it, set up the fuel lines wrong, etc. Case in point-- the bulkhead disconnect that I mentioned earlier was my fault-- I left the bolt loose. This gave me a "bad fuel pump" set of symptoms. Replaced the pump, broke fuel lines in the process. The problem became intermittent. Replaced the relay. Still intermittent. It was at the point where if I looked at the car the wrong way, no start. Went through to check everything that I touched, and I found that one bolt loose. Tightened it, and realized I could have saved $250+ and several weeks of aggravation by checking the "duh" things first...