G400 does what he wants – sometimes on, sometimes not

Hello together, maybe someone can help me with this extraordinary case or has an idea. After our C400 stood unmoved for about 10 days, a very high “peifton” or ev. a “virbrating” relay (my guess) was to be heard from the engine compartment. However, it could not be precisely located. The G only left with the key, everything else was dead. The sound went away only after the battery was disconnected. After the charger was attached was about s juice there, but it glowed, shortly after the attempt of the starter, which did not work only “crack”, the red indicator LOW/HIGH (see picture). After the back and forth of the high/low switch the red indicator disappeared briefly, but came back immediately after the next start attempt. After that we checked the whole electrical system, but found no error or short circuit. Charger remained the night over it. The next morning he jumped immediately after disconnecting and only the errors “BAS” and “ESP” The voltage was 12.34 V. Started again during the day, everything worked out. Started again in the afternoon and the same error again (as described above). Returned to the cargo. In the evening then jumped normal again and drove. Jumped overnight at the cargo and in the morning again. During the day weiter at the cargo, jumped in the evening. Then the night without cargo, jumped in the morning (11.89V). During the day further without cargo, in the afternoon again the so-called error and error. No starting. The voltage was 11.34V at the last start attempt. At the first error reading there were following errors (see picture), whereby all could be reset to P0802. P0802 means a problem with the distribution gearbox. Can someone please help me. Greeting Martin