A buyer broker agreement is a contract with the buyer and the broker to work together for a specified time period to help the buyer find a property.
Posthumous [ a. - Born after the death of the father, or taken from the dead body of the mother; as, a posthumous son or daughter. - Published after the death of the author; as, posthumous works; a posthumous edition. - Being or continuing after one's death; as, a posthumous reputation. Meaning of 'posthumous' (Princeton's WordNet)
As the other answer has described, this is sarcasm, but it doesn't really explain the meaning. First, eulogy has two meanings, it also means a praise about a person recently deceased (an obituary is only a notice of death, with a short biography and maybe facts about their life while a eulogy is a tribute to the late person). But it can also mean a tribute to people still living. So: Somebody only really gets such praise in two cases. First, if they are wealthy and powerful. In this case, the eulogy is implied to be mendaciously flattering in order to gain favor from the important person.