Try BPM synced parameter automations, then control the composition tempo with Midi. Or use effect clips instead of effects placed directly on the clips, that way you can keep an effect playing and switch clips separately. https://resolume.com/support/en/effects#effect-clips Or set the param automati...

Does it appear in other apps as a midi controller?

Yes, that seems to match with what you said about the fixture channels.

Are you using the latest Resolume?

This might help meanwhile https://forum.cockos.com/showthread.php?t=254027

That's pretty old. Try updating it to the latest from AMD directly.

try adding a keyframe with a very short slope here: The keyframe you have there is already on the next beatmark, you can also try to move it a bit before the 5/4 mark

Can you share some files you have trouble with?

The video router keeps it's set input, if you have it set to layer 3, then it will take layer 3. If you however make a different layer to be layer 3, the video router will still take layer 3. By position shortcuts work the same way, the refer to a specific clip grid position, not the actual clip (fo...

I don't think we've heard of this yet.
Do you have midi or keyboard shortcuts set up to the clip play directions somewhere?