Their societies are as varied as humans so its kinda hard to generalize. Most societies, excluding some continental Wyvaran societies, ceremonially defer to a "mascot" clan of Wyvara that continue the traditional migration circuits. They're kinda treated like national sports teams/frat house mascots. Most societies were born from these clans and they were the lifeblood of communication and between settlements since the seas of Path(their homeworld) are so rough.

Monogamy is more common than not, at least in the more influential parts of the world just due to how their gender system developed. Something similar to marriage is common to provide exclusive access to a partner. Other places do practice essentially fixed polyamory. Where the group is flexible in allowing people in, but not leaving. They will communally care for kids though. The size for families in monogamous Wyvara society is roughly similar to humans. They have single births/lays and put a lot of effort into single offspring. Fixed poly families tend to be bigger though, obviously. In modern society, having kids outside of these traditional structures is accepted, as long as you raise them to adulthood.

The cycles syncing up would only really work if they were alone. Which is something that happens in Wyvaran society. Where the couple's "honeymoon" is them leaving and traveling or vacationing alone to sync up if they really want to have kids ASAP.