There's no way to delete a position from GUI.
What do you mean by destroyed the device?
The device settings became incomplete and playing the history of positions at the map did not work anymore.
Fortunately it was at test device so it was no problem to remove all data by deleting the device and setup it again.
This shouldn't happen if you simply delete a position, but without any actual details it's impossible to tell you what you did wrong.
Is there a way to delete the datapoint of a single odd position directly from server gui?
For test I deleted the one bad entry in tc_positions (mariaDB) and this destroyd the device completely in gui so I had to delete the device completely an reconfigure it.
What was happen? Are there more relations in other tables?
How can I remove such kind of positions with (in this case) 13km difference from real?