Yep - you've done all the work to find the problem, so I have the easy bit.....
to explain the theory, when a pair of cylinders drop out, it will depend which pair as to whether it's fuel or spark related.....
.... both work in pairs, so 1&4 use a coil pack, whilst 2&3 use the other one..... so if one pack goes down, 2 cylinders are affected.
Similarly, if 1&3 go down (or 2&4) then it is an injector issue, as they are wired in pairs.
You then need to isolate the injector in the bad pair to see which one drags the 'good' one down by shorting to earth.....
You have done everything possible to establish that the problem lies with Injector #1 - well done!
Now, it may be a terminal fault, or it may be a connection fault somewhere in the system, or it may be a knackered (maybe blocked) injector.
If you turn on the ignition, but don't start the car. Stand with your head under the bonnet (with it open is easiest

) and operate the throttle by hand. If you can hear all 4 injectors 'click' in sequence (including #1) then it indicates that the electric circuit is intact as each injector is opening, so it is a nozzle (blockage) problem.
If you get nothing from #1, it may be an electrical fault, but I would suspect that the injector itself may be knackered. You can swap #1 for #2 and see what happens - if the problem stays on cylinder 1, then it is a wiring issue, if it moves to cylinder 2, then it is an injector issue.