Problems with motor electronics

Good morning motor-talk community, for about a week I have had a problem with my Mazda 3 (BL) year 2009 2.0 DISI (151 hp) with start-stop automatic. During the ride the Mazda suddenly went out in a left turn at about 10-15 km/h and the pointers for speed and speed have been knocked out for a short time and then dropped to 0. I could not start the Mazda and the board computer is constantly up and down. All display elements have w After a conversation with my Mazda dealer I completely landed the two batteries and installed them again. He suspected empty batteries, which I could confirm at the beginning, but that was not the solution of the problem. The symptoms are at the moment as follows: 1st scenario: Car can sometimes not be opened with the radio remote control. Then the A flicker when starting up. After 2-3 attempts it starts and drives without problems. During the ride there are no difficulties and everything works after my estimation. After approx. 40 km drive no abnormalities can be noticed. 2nd scenario: There is unfortunately another scenario. Then the car can be opened without problems with the radio remote control. If I use the Mazda at the It also starts immediately and you can start immediately. However, after about 1-2 km the board computer fails and always tries to restart. The power steering fails again and again. All indicators flicker then all the time. Headlights go out again and again when I give gas. If I turn off the Mazda then and want to start again exactly what happens in the first time. As soon as it runs again, however, you can drive without any problems and there are no abnormalities. The batteries have been reinstalled on 05.2017 and are original Mazda batteries. I have now searched for different amounts for about a week and cannot find a solution. Did any of you have similar problems and happen to know the solution? Greeting Eugen