I donated and asked question, but answer left out full response. PLease answer more fully

Check and test both the main relay and the fuel pump relay in the main fuse block-What exactly is it doing?

The humming noise is the fuel pump priming the system to start the car. There is a fuel relay and it is located under the dash on the drivers side.
The fact that the fuel pump turns when you turn the key means the relay is working. If you think you are having fuel pump related issues, it could still be failing.
Even though the pump turns it might not be producing enough pressure to get the engine to performa correctly.
You can genrally borrow a test gauge from an AdvanceAuot or Auto Zone with a deposit. There is a test port on the fuel rail and the gauge will come with a bunch of adapters so you can attach it to the test port and see what the pressure is.
Sometimes the fuel pressure regulator can fail and that will affect the fuel pressure as the need for more increases with engine load and RPMS. The fuel curve gets thrown off when they fail and will perfomr worse the more load or the higher the RPMs. Fuel pump pressure will affect the engines overall perfomrance at any RPM or even at idle.
Let us know if you need any further assistancew.

Do below and let us know what's going on.

Could be a fuel pressure, injectors not pulsing and no spark

Get a helper disconnect a sparkplug wire or 2 and ground it to the engine atleast 3/16 away from ground-have helper crank engine over-do you have a snapping blue spark? If so-you have a fuel related problem, Do you hear the fuel pump come On when you turn key on? If not check fuel pump fuse and fuel pump relay if okay-check the fuel pressure to rule out the fuel filter/fuel pump/pressure regulator and listen to the injector/s are they pulsing or hook up a noid light. No snapping blue spark continue to troubleshoot the ignition system-power input to the coil/coil packs, coil's resistances, cap and rotor, distributor pick-up coil, ignition control module, cam and crank sensors and computer Note: If it doesn't apply disregard it and keep testing

Lets rule out the fuel pressure before we go anywhere else its important that we know the actual fuel pressure with and w/o the regulator-we move from here

71-92psi

Hook the fuel pressure gauge up and turn key On-what is the FP reading-let me know