Other Fuel System Tank Filling/charging problems of the 2007 Ford Mustang

There's a chronic hesitation when you push the accelerator from a yield/merge type situation at low-speed. It's not every time but many times. Today I was going around a car that was sitting in the road with it's flashers on (ie double parked) and there was a car in the other lane on the 2-lane one-way street and I stepped on the peddle to accelerate slightly and it totally choked and I thought I was going to get hit in the rear and then it kicked in. I noted this way back when I bought it and at that time I thought it had something to do with the gearing which it still could. I told service about the issue and I even took them for a drive but of course that time it didn't happen. I've tried over years to id the problem more but while I can see somewhat of a pattern it's not guaranteed. Although one of the most likely situations is going up a hill, turning slightly to the right while slowing for a yield sign but not stopping and then pushing the accelerator only to get a hiccup or choke or whatever you want to call it. There are also issues filling the tank because of a lack of enough space for fuel to replace air causing the self-shutoff of the pump to kick-in not filling your tank. I raise this up as this could be some type of pressurization consistency. There's also the aggressive accelerator where you push it a tiny bit and it wants to take off enough to squeal the tires sometimes.

Having problems filling up the gas tank to my Mustang. Sometimes, I can only fill it up with a few gallons before it shuts off and going to different stations doesn't help. Dealer said to try other stations but to no avail that did not work. I can still only fill my tank up about 1/2 way and that can take so long to do.