Hi,
at first
Wilhelm Reinhard indeed became the successor of MvR in leading JG1 (consisting of squadrons #4, 6, 10 and 11), as Richthofen had wished and written in a letter to be opened after his death.
Reinhard must have been an exceptional aviator, but of course he was not as well-known as Richthofen - no one else was towards the end of the war. Charisma was not necessarily a reason anyway, since even Richthofen's has been so hyped up that the original man might have been an ordinary and shy one in reality (well, maybe not quite

).
Unfortunately Reinhard died at Adlershof while testing a Zeppelin D.I Dornier (or Zeppelin-Lindau D.I) prototype on july 3rd, at Berlin-Adlershof.
On july 6th Goering was promoted to lead JG1 after Reinhard, by the commanding General of the german air forces. Goering had proved himself as a bold and ambitious flying officer with 21 shotdowns, and also had been awarded the Pour-le-Mérite.
Bodenschatz later wrote that Goering was the long-awaited charismatic successor of Manfred (what Goering always wanted to be), but Bodenschatz wrote this in 1938 being by then personal Adjutant of Goering ...
Despite his own-made-up legend Goering had never flown or really known M.v.Richthofen, and they probably never met. There are some later photos showing Goering with Lothar v.R., but never with Manfred.
Greetings,
Kai