Mitsubishi Lancer 2007

1- first while the car is cold (in parking )and at morning
when turn on the car the motor is very slow and not high and rbm first histating and the car seems to be turn off then rbm stile in nearly 250 rbm and take for more than 10 minute the care be hot and the rbm rising till reach 550 or 600 rbm

while during day no problem appear and the rbm when the car is hot may reach 750 or less

i do cleaning the throttle body and fuel pump and changing battery and the problem still

2- about I hear anoise near the back side of the care behind the driver and I ask technetian and sead to me to change the pump