Fire Emblem Awakening [SPOILERS INSIDE]

I have my first question: Is there a limit on support conversations per character? I know it used to be 5 per save in every other game, but they also all showed something along the lines of *supports remaining: 5* and it decreased as you did them. I can;t see anything similar to that on awakenings support screen.

 Spoiler

At least, I guess S rank supports are limited to one because of the whole marriage thing though?

Yes there's a limitation to 1 S rank, there is no limitation for the other supports.