Happy birthday. when your wife allows, LOL check for spark to make sure you are just dealing with a fuel pressure problem only.
I would avoid jumping wires at the relay for now you do not want to cause more problems for yourself.
The relay cover if it still has one should be labeled showing what relay goes to what part. the MAF is for the Mass Air Flow Sensor. if your eye sight has gone south like mine use your cell phone to zoom in and take pictures of what may be hard to read otherwise.
if you cannot identify what relay does what, sign up to a subscription to Alldata DIY. this way you do not have to wait for a out of date factory service manual arrive from wherever you may find one for sale.
http://www.alldatadiy.com/?at=ra&siteID=XKiyX8ZknCA-lZiZ0vTf8zo1bnoj8_31RQ&ls_affid=XKiyX8ZknCA
Using Alldata you will know for sure you have the correct information with all the factory service bulletins and factory recalls, diagnostic flow charts wiring diagrams ETC.
It is pretty cheap for a one year subscription, since you have a one owner car that you purchased new I am sure you will not be selling your car anytime soon you may as well go for the 5 year plan.
Key tools you will want to quickly diagnose a no start problem that are inexpensive to buy are, A DVOM, A 12 volt computer safe test light, a set of Noid lights. and a accurate up to date service manual. they even have a Jumper key for checking the codes you can hang off of your key chain.
For your car a Mutt tester like you mentioned is good but a older Snap on
scanner with the troubleshooter cartridge that covers your year make model car can be picked up inexpensively also.
If I remember correctly the snap on
scanner will allow you to activate and test many parts controlled by the computer.
Since it is your Birthday now is the time to get away with some tool purchases.
Harbor freight can be a decent source for some of these tools inexpensively if you are on a tight budget, watch for the sales.
For now we can get by with basic tools and a little help from me and others on this forum. and of course the WWW
the Factory manual you have may be great for information on rebuilding the engine, or installing brakes servicing the Air conditioner, but the 1980s GM computer system and electronics were evolving every year so you cannot trust that the one year difference wont lead you down the wrong path.
A no start condition on your one owner unmolested low mileage car should be easy and fast to accurately diagnose.
Things get complicated and potentially expensive if the diagnosis process is started at the wrong spot.
Jumping the connectors trying to get a fuel pump to work even if you have the correct wire could lead to a damaged ECM especially if your dealing with a fuel pump that has shorted to ground.
Even if you get lucky find the connector at the relay to apply power to, get the car running.
This doesn't mean the relay is bad. so you really learned nothing about the problem other than eliminating the fuel pump from the no start equation.
So you would still be just hanging parts on your car in hopes the part cures it.
Process of elimination is a OK way of doing things if you have no other choice. but you do have the resources at your finger tips to do the job right.
learn more about your car and how to properly diagnose your car.
I would give you different advice if your car had 300000 miles and had 12 owners.
I know what you want is for there to be a easy plug and play solution to cure your car, who doesn't. it may be just that easy to fix it.
However that kind of work I didn't do when I was a technician and I cannot offer anything other than guidance steering you down the path of a complete and accurate diagnosis.
Short of all this, buy the fuel pump relay if your not sure which one, buy them both. install them cross your fingers and hope for the best.
I am willing to bet, you love your car enough to take your time and diagnose it while your gaining valuable tools and knowledge along the way.
Right now your fuel pump system is a mystery on exactly how it works, I promise you, if you do what I suggest you will know more about your car than any hack parts hanger you could bring your car to at well over 100 bucks an hour.
If any or all of what I have to offer is just too much for your time and patience to deal with feel free to let me know and I will no longer respond.
I am disabled and no longer have a busy life to deal with, so I have all the time in the world to help.
Yet I understand you have a busy life and may not have the time, space or money to deal with this situation the way I would.
I would not be offended if you said Thanks but no thanks and you waited for others to help you in the way you need.
Again Happy Birthday and I hope some of this information proves useful.