Yes the initial GGS design that made it to service was the Mk.IIc which was meant for gun turrets, the Mk.IId was the fighter sight. In USN service the Mk.IIc was the Mk.18 and the Mk.IIc was the Mk.21. After initial low enthusiasm the USAAF eventually came on board and adopted the Mk.IId/Mk.21 as the K-14.
I think the added functionality for rockets came from Ferranti. In May 1945 the Director of Armament Development in the UK sent over (among other GGS technical data) drawings for Mod.19 FE to the US. This Mod introduced the RP attachment and raised the sight to 'Mk.IId Series 2'. For what it's worth the new orientation of the graticule called for by Mod.19 was also introduced to the current Mk.IId Series 1 production, in case retrospective fitment of the RP attachment was called for.
EDIT: I also note the first photo you have there also has Mod.20 FE; which introduced the sliding sunscreen and brought the sight to 'Mk.IId Series 3'. Drawings for this were also supplied to the USA in May 1945.
I believe that in1945 the P51s in Iwo Jima were already using the K14 (I saw them using it in a ground strafing gun camera film, after scorting the B29s).
About the RP in the MK IV Ferranti, it had a fixed deflection of about 17 mil (that is what I can still remember) and it was not adequate for the HVAR that we used. But we found that we could deflect the + on the the fixed recticle by turning a smal spring knob on the back of the sight and in this way could place the + in any deflection we needed (by using the gyro recticle as reference) , and thus, used the fixed recticle for aiming. After use, all we had to do was to level the + it with the piper on the gyro recticle (provided we were in absolute undisturbed level flight) for using with the guns. We prefered using the fixed recticle for strafing and used the gyro only for air to air gunnery.