Why does my car run bad when cold?

Hey folks I bought a 04 Lincoln ls v6 and noticed
that the car runs horrible when cold no break
pressure extreme shaking of the engine and
shutting off unless I put the car in gear smash the
break and hold the gas a bit to warm the car. I have
replaced the fuel pump spark plugs both tem
sensors an o2 sensor and all coil packs thing is
once the car reaches normal temp it runs fine my
car also shifts hard when going into second an
third gear I was told to check the solenoid can
anyone tell me the problem