Truck running rough and I'm lost
 

So I had a check engine light come on. It should can shaft sensor bank 1 and 2. Replaced both of them. Still was running rough. Looked up the codes again, which all said a bad battery could cause them to mess up. Got a new battery and it worked great till I started it up again and it's back to running rough and dying. It idles really hard and when I hit the gas, it will hesitate then rev up. Help I am lost don't know what is causing it. Any ideas?

1. Please identify the year and engine.
2. Please post the exact numeric codes.
3. How many miles on the truck, how many miles on the spark plugs, what brand of spark plugs is in it?

2008 Ford F-150
5.4l v8 reg
99200 miles on it
had 75000 when I bought it from the dealership.

Codes were p0349,0340,0345,0344

Do you know if the spark plugs have ever been replaced and if so, what brand?

Those are all CPS codes, I doubt the plugs would cause them. Caused by bad sensors OR wiring to them OR VCT solenoid issues. Possibly a weak starter, but that shouldn't cause rough running.

I'm stumped tried everything I can think of. Someone said could be a vacuum leak but that wasn't it. It's not the starter had that checked to. I'm trying to avoid goin to the dealership, because they were goin to charge me 200 just to replace the 2 cam shaft sensors. i haven't checked the spark plugs but it's just weird the truck ran great when I changed the sensors and the battery then it went back to running rough.

You probably have a wiring problem in the CPS circuit BUT if those are the original spark plugs that could definitely cause rough running.