Since you received an answer from LH aready, its time to proceed to step 3 and send the form to the LBA: http://www.lba.de/cln_009/EN/Custome...nn=30638#Start

Make sure you use the form on the website above so it fits into their scheme. If you have no reason to complain they will tell you pretty much instantly, if yes, the LBA will take it up with LH who will send you a response as per 261/04 and asking for a bank account to transfer the cash.