Stalls if trying to accelerate fast?

Hi, so here is the story:

A few days ago, in the morning I discovered the car was not turning on. The fuel pump seemed to be not working, there was no fuel on the lines and no sound for priming.

I pulled down the tank and replaced the fuel pump. After that everything was working again but I noticed a weird behavior. When I stopped and started accelerating the car hesitated for a second and then it was working normally. That was happening every time after a stop.

After a few days the car stopped in the middle of the road. It seemed there was a problem on the pump again, so I took it out and there was a little hose disconnected. I secured the hose, and I was able to turn it on.

But the car was working weirdly, and it took several tries to start. Since the problem started with the bad pump, I decided to get the new fuel pump checked and replaced just in case.

Now we know the pump is okay.

Then I checked the fuel injectors, and they are okay. They spray very well.

I cleaned the connectors for the sensors, and everything looked good.

But the car still needs a few tries to turn it on, and if I hit the gas hard it starts to stall, If I accelerate really slow, I am able to reach a good speed. But at any point if I hit the gas hard it stalls.

I was getting just one side on the cluster with the three key trick. It was related to low oil pressure so I did the oil change and the code disappeared but the problem persists.

I hope you can guide me a little bit.