Originally Answered: I have a vehicle problem. Can someone help me get in the ballpark of the problem?
if I'm reading your question right, after you drive it once its hard starting from there on, tell it has set for more then a day to want to start right up again easy or on the first try? and the white smoke...
one the oil your using is not the problem, but with the miles you have its time for a tune up, a full tune up, as this alone can cause this.
and if there's anything going on with in the motor other then it needs the tune up the check engine light would come on and log a code, if your light is on have your auto parts store run the codes, most auto parts stores will come out to the parking lot and hook up a OBD2 reader and read of the codes for free.
other then have those two thing done at this point its hard to say what it is that's going on with out that info.
the white smoke could be a few things, as in a tune up, and if it is colder out this happens tell the exhaust has the time to get hot,
as for can it be a head gasket maybe but in most cases the white smoke wont go away and it will have a sweet smell to it, and if this has happen then there will be antifreeze in your oil and it will make your oil look like a light drown with little bubbles in it, and your oil change place sould have seen this and told you about it.
and as for the carburetor, you dont have one, yours is fuel injected and the only thing your doing by stepping on the gas is allowing it to get more air, with fuel injection the temp of the air, mass air flow, and the RPM of the motor tells it how much fuel it can have, just by stepping on the gas with fuel injection and with out getting in the everything the computer has to read, just by stepping on the gas it will not add more fuel tell it has started, but it will allow more air to get in the system, and again with a full tune up, new air filter, PVC valve, fuel filter, plugs and so on, but just a dirty air filter can cause this problem to happen.
tune up should cost you about $100 if you do it your self, if you have it done $200 to $300 depending on where you go