The letter salutation is written as: Dear Doctor and Judge Smith.
The envelope is written as: Doctor Adam Smith and the Honorable Eve Smith.
Dear Judge Smith and Mr. Smith.
The Honorable Judge Smith and Mr. Smith for the envelope and Judge Smith and Mr Smith for the letter.
Dear Judge Smith: See http://www.factmonster.com/ipka/A0771340.html for more info.
The correct salutation for man and wife that are doctors is: Dr. Henry & Dr. Judith Smith or, Doctors Henry & Judith Smith. Both are acceptable. The proper salutation for married doctors would be 'doctor'. However, you also can refer to a married doctor as Mrs. and/or Mr.
When you are speaking, the judge is usually addressed as "Your Honor" (As in, "Your Honor, my name is _____ and I'm the defendant and representing myself"). Less common is the Title, "Judge" followed by the last name (This assumes you can correctly pronounce it), such as "Judge Hardy, may I ask the Court (never YOU) a question?" If you are writing, the judge is usually referred to as "The Honorable ___(First, Middle Initial, Last Name) _____".
The Honorable and Mrs. (first name with middle initial, if any) Smith
Not unless it is preceding a proper noun, acting as a title. i.e, "That person is a judge." as opposed to "That person is Judge Smith."
Retired or not, the proper formal salutation should read: Honorable Walter K Smith Dear Sir:
Judge Smith was born in 1948.
Use the term Honorable Judge on the envelope. For example Honorable Judge Smith and Mrs. Smith. On the invitation Judge Smith and Mrs. Smith would be fine.
Michael Smith - judge - died in 1809.
Michael Smith - judge - was born in 1740.