Transmission Gear Slipping problems of the 2008 Mazda MAZDA6

Transmission slips and shifts very hard from 1st to 2nd in the cold weather.

Driving 2008 Mazda 6 when the at light came on and the automatic transmission slipped from gear reengaged very harshly into third gear. The 5 speed automatic transmission dropped 4th and 5th gear after re-engaging.

My clutch started to get stiff and I couldn't push it. Eventually the clutch plate fell apart and the fell through the body of the car. Then that clutch plate fell apart. Then I got a whole new clutch on 6/7/2013 and it felt bad but the dealership said "it's a self-adjusting clutch, it will loosen up over time. " then in may 2014, the noise came back and I could barely push the clutch peddle again so I took it and they said it needed a clutch master and a clutch slave but it made it worse and the car made a horrible sound after they put those parts in, so they said the entire clutch was bad and they'd replace it under warranty, but the noise didn't go away so they said I needed a whole new engine. Their faulty clutch blew up my entire engine because the gears were slipping. So a great car had a blown engine because of a faulty clutch.