Hawke and Carver never got along, maxed out rivalness. They always bicker to eachother any chance they get. With Hawke angry Carver for joining the templars, and Carver blaming Hawke for not being able to protect Bethany, and holding him back from being someone. It's rare that they could be in the same room without a fighting match. Besides that they are very cordial and diplomatic when dealing with people and conflicts.

However when Carver gets kidnapped during the Best Served Cold, Hawke goes crazy and completely kills anyone that had to deal with kidnapping, whether it was their idea or not. When Carver wakes up, he understands how intensely how much Hawke feels for him. They only have each other left.

I would prefer a female hawke, but am totally cool with a male hawke.

http://dragonage-kink.livejournal.com/15999.html?thread=61835903#t61835903