Addendum:
Also works very well with Windows Media Player. If AirReceiver is turned on, you can in Windows Media Play 12 Click in the playlist on the "Play To" and then select AirReceiver and you can already remotely control playback on FireTV from the PC.
But:
Multichannel sound appears in streaming video to be down. All videos with DTS / Dolby Digital 5.1 sound FireTV remains silent. Two-channel sound, however, is not a problem. Since Plex also has such problems, the question arises whether it is up to FireTV and not the programs.