Ok, after doing quite some investigation I have found a solution here:
https://serverfault.com/questions/178457/can-i-send-some-text-to-the-stdin-of-an-active-process-running-in-a-screen-sessiIt can be boiled down to this:
First I start the program like this:
(while [ 1 ]; do sleep 1; done) | omxplayer Engl.mov
Then I can control it via the process id like this:
echo -n p > /proc/$(pgrep omxplayer)/fd/0
The outstanding part now to find a way to discover when omxplayer is at last frame (as the omxplayer never is released due to the endless loop), so a rewind can be sent to all players, and combine it into to a program controlled over the network, which can be done by a multicast.