For the sympton of applying brake itself, it is the ABS sensor or called pulse generator by BMW (someone may call it wheel speed sensor) malfunction. Just have someone that have DIS system or code reader to check for fault code to see which one is fault. Regarding the transmission problem, you also have to have someone have DIS or code reader to check the fault code. I don't think it is the alternator or battery.

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--2004 E53 X5 4.8is - ECE version; right hand drive; Located in Hong Kong; ext. black sapphire metallic; int. leather black; adaptive dynamic bi-xenon headlights; 16:9 onboard monitor w/o navigation; 20" genuine BMW Y-spoke 214 wheels with Bridgestone Dueler H/P Sport tires; Int. rear view mirror w/ compass.