Yep

Not really if you have read some of the myths about him and his... Errr... Children...

Also he turned into a woman in the comics a couple times. He doesn't really have a set gender

So he became Elsa?

Saying he became Elsa would imply Loki turned into a blond 21 year old girl. It would be more likely to say Thor became Elsa (and Thor became a woman a couple times in the comics too)
Loki basically became himself with longer hair and boobs

Ya they kinda lessened his hotness.

I definitely like teenage jack better

Is it bad I kinda have a crush on teenage Jack?

This was made in a time long forgotten. A time before Frozen.

But then the already popular pairing would be super gross.

ahem...
https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcTdooYJo_vmODrXE9ri8rl7rF1iT9icVtvGI7E69St9jbbSLZTG