Dawn Granger / Dove

New Earth

 * 1)  Hank Hall / Hawk  - I believe these two have been involved at some point.
 * 2) Boston Brand / Deadman and Dawn had a love affair after he was brought back to life by the White Lantern. When he died again, the two professed their love to each other as he turned back into Deadman.

Titans

 * 1)  Hank Hall / Hawk  - The two met on the street moments before a car hit the crowd, killing her mother and his brother. The two then saw each other in grief counselling and connected. She learned he was a vigilante, and she helped him exact vengeance on the man who had molested him as a child. The two had sex once afterwards, but the morning after, Dawn told him they couldn't be together in such a way. Nevertheless, the two became crimefighting partners, Hawk and Dove.
 * 2) Dick Grayson / Robin and Dawn became involved as fellow Titans, but broke up as that first incarnation of the team broke up.  -- Dawn then became involved with Hank. The pair joined the re-formed Titans, but broke up afterwards. They continue to function as Hawk and Dove together in the Titans.