Well, some of what you consider desirable and undesirable may vary. Here are some facts about the dracons and the setting:

- Rich dracon males are almost always polygamous, with several wives. Rich females can only be married to their husband.

- Dracon clothing varies by age and sex. Young male dracons wear a loincloth until age seven, when they can use pants or shorts. They can use a full adult set of clothing (similar to what a human uses) by age fourteen. Female dracons only use a loincloth until their breasts begin to develop, at which time they get a top piece. And dracons never use footwear no matter their age or sex.

- Dracons are free to choose which gods they worship unless said god is explicitly prohibited in that realm. Their gods represent almost anything and everything you can imagine. Some gods and goddesses are more prominent in certain cities and social groups, but this is one of a few areas I have to develop more.

- There are winged dragons, both good and bad. They existed long before the dracons did, and some dragons were alive for millennia before the dracons were created by those dragons and mages.

- The dracons were created about 10,000 years ago (older material of mine says 9,000 or less) by the cabal of mages and dragons. Keep in mind that some of the four-legged dragons were also mages. Not a huge amount about them is known, but dracon scholars have compiled a partial list of the cabal (not quite half), which numbered over 100 individuals.  

- Dracon culture is very patriarchal, and they don't allow females to own land. That said, actual abuse of their wives is frowned on, and there are dracon priestesses, although the highest clerical positions are reserved for males. 

- Apart from using footwear, dracons stigmatize effeminate behavior by males, although this condemnation really takes until age 25 to kick in. They also don't tolerate anything but straight relationships. Fortunately, the very point of their creation was to be bred as soldiers and servants for the cabal who made them (the cabal actually made them for contradictory purposes, with few of the mages agreeing on how to use the dracons, or if they should be used as servants or tools at all) so anything which would get in the way of their breeding wouldn't have made any sense. 

Keep in mind that dracon society was made to be intentionally flawed. Good drama often comes from people fighting against the issues presented by society. A utopia filled with peace, love, and tolerance isn't very dramatic.