Ability to know the key of a song by ear. - But I need a reference somewhere like a musical instrument so that I know the name of the note I'm thinking of.

Ability to play any songs by ear. - Novice songs, yes. Intermediate, need time to listen to and analyze every section.

Can hear if instrument is out of tune/have defects. - Dunno about defects though... if it's a fret buzz or something, sure.

Lol. Naah, I'm not that talented.

I don't think I was born like this, because my hearing isn't that good. I often say "Huh?!" when talking to people. xD I think years of taking piano lessons help a lot (since standard 3 until form 3 I think.) Although I sucked at piano (and right now even worse), by the time I relearned music theory to play bass, everything kinda clicked and made sense. With music theory, it's easier to understand the harmony, and you can "predict" where the song is going, or even fill in a note or chord you can't clearly hear.

Finding out the key of a song is generally quite easy though. You just listen for the one note that sounds "at home", and then check to see whether it's in major (bright/happy) or minor (dark/sad). Another way is to check the last chord (and the first chord). If a song ends with, let's say, C major, usually the song is in C major.

Learning a song by ear to me simply means spending time and using different speakers/eq/slowing down, but you'll eventually get it.

As for an instrument out of tune from itself/the rest of the band, it's like a singer going sumbang, which is painful!