Car radio dead after dead car battery

did you check the fuse

Fuse blown?

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check your fuses under dashboard..

You got a jump and it ran fine? It's your battery. The lights and radio are much easier for a battery to handle than spinning a car engine. Again, if all you needed was a jump, you have a bad battery.

I doubt the service person did anything wrong. In today's cars with both engine and body computers, jump starting a car can be risky.
You're better off having the battery charged for an hour or so then trying to start it.
You may have to have the body computer scanned and possibly flashed to get everything working again. The body computer controls everything you mentioned. It could have lost some of the factory programming when the system was dead.

Okay, what you seem to be saying is the battery does not turn over the engine and the battery smokes when you jump it to start it. But the lights and radio and everything works except the car will not turn over by itself. The battery smokes because either the battery has a short in it, it smokes because the starter is dragging, and/or the jump wires are not hooked up red to red and black to black. You need to have the battery and starter checked. If the car runs take it to an autoparts place to test. Or if it won't run take out the battery have it tested and if it is good, then take out the starter to test it.

Did you check the fuse that is behind the radio ? There is a fuse which might of blown, but you will need to remove the radio from the dash and you need special tools for this.

Some German cars have anti-theft device inside to make it useless to steal...check at the dealership to see if jumping the battery will activate this(the car thinks its being stolen) .

First I would try to disconnect the negative cable and then reconnect the cable. See if it resets.

It could be a fuseabel link in your cars wiring system that is causing the problem...you will have to get an ohmeter and test both the main power wire and the ground wire and make sure there is current...If that doesn't turn up a result then you can always install a positive wire from your ignition from the "ACC" terminal to a fused wire and bypass the whole system. You will also need a ground wire somewhere close to the unit itself. Do not link directly to your battery terminals or you will get a "HUM" in your sound system becasue of your alternator. Good Luck!