2009 grand marquis with a slight hesitate
 

Greetings all,

I have a 2009 grand marquis with a slight hesitate sometimes so i went to the shop and replaced the fuel filter, replaced the fuel pump, spark plugs, cleaned the throttle, cleaned all fuel injectors, and replaced the battery next day the car started ok turned on the air condition while idling the rpm jerked and engine stopped. tried to restart it again it will crank but wont start. i pushed the fuel shut off switch in the trunk knocked on the fuel tank couple of time disconnect the negative battery no help. then reconnect neg battery disconnect positive and reconnect it started. Now it is getting worse my rpm is jerking on idle, and air condition compressor keep kicking on and off sometimes it will work fine for 30 min no problem sometimes it will take 5 min then kicks off. all this with the check engine light on. I get 6 fault codes
P0135
P0141
P0155
P0403
P0443

I Checked fuse #21 it is fine. I am wondering if the fuel pump housing is not sealed is it gonna cause all this code?? Any ideas or anyone had this issue before would be so helpful??