You are required to advise the airport you are inbound to of these facts. As Essex isn't Luton approach it isn't relevant to us what Luton weather you have or your aircraft type. Essex radar just does the initial sequencing for Luton but isn't Luton approach.
Whereas obviously you should read back the details to Essex Radar if you are inbound to Stansted, because "Essex" is clearly the same prefix as "Stansted"?!?