So just to recap so far then.
Looking at UK Channel 4 news tonight the UK mil support for this is as follows. Tornado Aircraft (6)? Supporting Tanker Aircraft. I presume Hercules C130 still doing what they do. Other UK supply aircraft gathering weaponry and ammunition from around Europe for delivery to the Kurds. A Rivet Joint Aircraft and probably drone aircraft for surveillance and support over N Iraq. Undoubtedly UK SF (Boots on the ground, but they aren't) and probably much more than that in other units.(Yorkshire Regt got a mention).
All of this one can gleam by reading the various newspapers, I'm not looking for confirmation because I understand the OPSEC involved - but its quite a sizeable package really.
Many service people at risk - they should recall Parliament and have a national debate - this is a shameful drift and escalation.