There is no episode in which Darien (Mamoru Chiba in the original Japanese) or Serena (Usagi Tsukino) have a baby; they do find out that they are the parents of Rini (Chibiusa) in episode 83, "The Shocking Future! Demando's Dark Ambition!" (76 in the dub, "The Legend of the Negamoon"). The actual birth of Rini is never shown in any episode.
They do, however, care for a baby in Season 2, episode 53 (47 in the dub), "Mamoru and Usagi's Babysitting Mayhem!" ("Much Ado About Babysitting" in the dub).
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Usagi (Serena in the dub; the fifth and final season of Sailor Moon, "Sailor Moon Sailor Stars" was never dubbed into English) found out that Mamoru (Darien) was killed in episode 197. However, he, like the other Senshi that had their Star Seeds removed, killing them, was reborn after the events of episode 200, the final episode in the series.
Episode 55 for the American version Episode 61 for the Japanese version It's also the episode where they break up :)
It's right after her and darien break up so mina try's to cheer her up and takes her to a salon, which is in season 2 im not quit sure what episode it is but it has to be after episode 55.
They make up in Episode 77 for the Japanese version Episode 71 for the English version :)
The only break up in the anime not manga. For anime its episode 61.
Darien (Mamoru Chiba in the original Japanese) never cheats on Serena (Usagi Tsukino). He does break up with her toward the beginning of the second part of Season 2, in episode 61, "Huge Shock for Usagi! Mamoru Declares a Breakup!" (episode 55 in the dub, "The Cosmetic Caper"). During various points during their split, Mamoru deliberately led Usagi to believe he had moved on and gotten a new girlfriend (Unazuki/Lizzie, the younger sister of Mamoru's best friend, Motoki/Andrew), but she later found out that Mamoru had just done Unazuki a favor, and was not actually dating her.