When the gas pedal is applied the car lags back and the engine makes a loud raspy noise

You shouldn't have to pump the gas for a fuel injected vehicle to start. Where is the very loud noise coming from? If it's from the gas tank, then it very well could be the fuel pump beginning to fail. Sometimes you get no warning. You just get stranded. A mechanic would likely check your fuel pressure with a gauge.

check your fan clutch

Hello, it's probably not safe to drive, noises are never good news, I would suggest that you check the engine oil and if it's low add oil to it and hope it's not too late to prevent engine damage.

it depends on what the noise sounds like if it sounds like a very loud exhaust you may have a cracked manifold

check brake fluid level.

master cylinder might be of interest, but i would check the fluid level first

Sounds like something is caught up inside or outside the engine/transmission where a part is grinding from something reciprocating. Does the sound happen when you apply the gas without the car moving? If the sound only happens while moving then it could be suspension or transmission related. If it only happens with or without the car moving as long as you control the gas then it's probably in the engine or transmission related. Could also be a wheel bearing issue, that will be a humming sound inside the cabin. As you speed up the pitch increases and the opposite happens when you slow down.

Your noise sounds like it is power train related,If you have eliminated the engine,Since it doesn't make the noise while moving and in neutral.
It sounds like a universal joint in the drive shaft.Do you notice a vibration
along with the noise?

check the level of the power steering fluid,check belt tension & condition

What you are describing sounds like you have an engine bearing failing. Do not drive it 'till you have it diagnosed and repaired (most times though it's too late when you hear it.)..... Outside chance it could be the trans flex plate but I doubt it.

Replace the IAC valve.