Mhysa - Übersetzung auf Deutsch

I've compared it with the English translation. Here are the mistakes I found:
"Ihr seid mir eure Freiheit nicht schuldig."
(the way you wrote it it's a question)

Die kann ich euch nicht bieten.
(the order of words you used stresses "euch" very much)

Ihre Freiheit ist nicht mein an euch zu vermitteln.
"vermitteln"? The whole line normally wouldn't be expressed that way, I'd make it to
"Was Eure/deine/eure Freiheit betrifft, so ist es nicht an mir, diese zu geben"
or, not so close in the meaning but much less compliated
"Eure Freiheit könnt ihr von mir nicht erhalten".
It's no easy to properly express it in German.

"Sie gehört euch, und zwar euch allein."
The "zu" should be left away, that would be too literal. "to belong to" in this context means the same as "to be owned by", and that is "gehören" (without "to") in German. Also the "aber" should better be left away. The "zwar" I added stresses what is meant.

"Wenn ihr sie wieder haben möchtet, müsst ihr euch sie selber nehmen."
Your translation of it wasn't wrong but I've polished it a bit. And "müsst" was spelt wrong.

"Jeder Einzelne von euch."
"each and every one" is the subject so it must be nominative case, you translated is as genitive.