The engine is a B18C1, from a '94 Acura Integra. Specifically, it's from the GS-R trim Integra. It's a VTEC engine, if they happen to ask you.
The B18C1 is the main engine code. Besides the year of the engine (sometime it matters sometimes it doesn't) the engine code is all you should need.
The "13 11 739" is likely a simple identification number from Honda. Either telling them when & where it was made, and/or what specific car it was put into. Not something an average person would ever be able to decipher.
The P72-2 is the heads casting number, showing that it's different from other Honda B-series engine head castings (i.e. B16A2, B18B1, B18C5, etc).
The (9/4) shows the year of the engine, so it's from a '94 Integra.
Similar to the random numbers directly below the engine code, the "( /4)(1/4)(1/0)" is just Honda's way of noting where & when the engine casting was made. Not anything that's important.
But if your fuel pump isn't getting power, it could very well be the Main Relay has gone bad. It's a fairly common problem. The solder points on the circuit board inside eventually crack, and lose connection. It's located on the driver's side under the dash, on the left side wall. It's just held on by a 10mm bolt. Here's how to test it:
If that tests out ok, here's how to test the wires that connect to it:
http://imageshack.us/a/img407/8568/mainrelaywires.jpg