Mitsubishi Galant problem

Hello, good afternoon.
My problem is as follows:

I have a Mitsubishi Galant year 2003 Automatic, at the time of taking it out of 0 (start accelerating), hits small pulls, which is not normal.
Check the air filter, change spark plugs, but that I don't know what it can be or what should I check more.

*I have another electrical problem. At the time of keeping my car and turning it off, I must disconnect the terminals of the battery since if they are connected, the battery is downloaded and when I want to turn on the car the next day, it has the downloaded battery. I don't know if I have excessive consumption or a cut that causes consumption while the car is off ???

If they could help me

in advance ...

Hello partner, do you say what car you will give connected?

Many details do not give that little pull, then it takes away later? or is it aforementioned?, happens every time you move the car or only in cold?, with respect to the battery if you leave the positive put and bring the negative terminal jump spark? To justify consumption, how much do you have the battery?

Hello, thanks for your interest.
The pulls occur every time I take the car of 0 (being hot or cold the car), the small pulls occur more or less until it passes to the 3rd march, the battery is new, when the negative terminal approaches there is a small spark.

Thanks in advance ...

It is a spark, it is justified that you have a beaten or alarm closure and that, if it is until the third speed I check the TP Aver as it is.