I have a 2005 Mazda 6 which is sometimes hard to start. It has a new battery so that isn't the problem. Also if the window is going up on 'auto' and I brake, the window goes down again. Was wondering if it is a computer hardware problem.

 

Could be Crank Position Sensor for hard starting. Could also be you need plugs changed. Have you ever changed your spark plugs? Mileage?
Window problem is strange, never heard of that one, you are the first for my ears.

 

As per private message, you put in new plugs 2 weeks ago with 81,000 km.
it's seems too much to be a co-incidence. You may have a loose connection at or near ignition coil. The Mazda coils are not very good. I read somewhere that they can just handle our horsepower. Although your mileage is low, 7 years is a long time for them to be one.

 

Thanks for the tips on my Mazda 6/ I will look into it.