I think you are there or thereabouts. There is definitely an inner circle both sides, and a CIVITAS LONDON reverse. The obverse Iegend is probably EDWARDVS REX but there is too little face/crown detail to be much more specific - certainly North class 10 or later, and likely Edward II. The North classification has been substantially re-written and subdivided in the Withers (Galata) publications which are highly recommended.
Jerry