Coil Cutscenes?

Just noticed there are no coil entries in the diary, so there is no way to go back and watch those cutscenes?

I believe you can. It may be under a certain tab though. Such as Duty, try that one. But I'm pretty sure they are in there. I'm almost positive I've watched all the BCoB ones in the inn.

Under Sidequests I know this, what sub menu escapes me at the moment

It's under Duties -> Instanced Raids.