Fuel filter and fuel pump

Recently my sister started having issues with her vehicle. At first it started not wanting to take off from a stop. She would push the gas and it would barely move on the take off. Then she would have trouble with it not wanting to start. Sometimes she'd go to leave and it would start right up and others it take a few tries. Then the other day she went to pick up her daughter and was heading home. Stopped at a stop light went to take off it did it's hesitation thing and shut off. She fired it right back up and managed to get it off the road and dead stick for real this time. Got it towed to the house was going over it with a buddy and we realized there is no humming of the fuel pump when the key is turned. When he would gentle shake the fuel lines when id crank her over it wants to start. With that does it sound like I am replacing a fuel pump? On the fuel filter I am getting conflicting information. Is there a fuel filter on this vehicle listed above? If so where is that thing hiding?