Fuel pump/filter trouble

The car “pulses” when driving, tachometer goes up and down when driving on highway more when going up a hill. Car feels funny like the power is going up and down.

Two days ago the car would not start in the morning, cranked it maybe three times and it did not fire. Later that day the car started, about 6 hours later. I’ve started the car about four times and let warm up, but I’m afraid to drive it because I think it may stall and leave me stranded.