Kinn: After the heart attack, Burt doesn't remember Kurt at all. The Barole relationship never happened in S1, so Burt and Finn don't know each other. Finn realizes somehow (don't remember how) that Kurt is living with his homophobic/verbally abusive father. And now that I'm typing it out, I can't actually confirm there was romantic Kinn in it, but I'm pretty sure there is. Sorry! FOUND!
Puckurt: Post heart attack Burt remembers Kurt, but Burt is really homophobic towards Kurt. Puck finds out somehow but I don't remember how. I know it's really vague but it's all I remember.