Invulnerability - - he wouldn't be as vulnerable as new 52 kon, because he would still have the YJ shows "half" power. Which means half of supermans power, which means half a guy who can lift the weight of the planet for days. So no he would be very very far from vulnerable, he would be as invulnerable as half of supermans invulnerability at all times, then we he is focused just as invulnerable as any full kryptonian.
Strength-- again he would have half the strength as superman, half of the strongest guy on the planet, he wouldn't be a pushover at all. Plus when he focuses he could be just as powerful as any full kryptonian.when he can't use his TK type powers to amp his natural powers he would still have half the power of superman, so he isn't going to be beaten easily like the new 52 kon would be by the gen 13 team members.
Breathing/eating - - what is wrong with him being ANYTHING like a human? He has the powers of a God, but is still half human, he should have something thst shows that he is thst. Breathing in space and underwater is easy with TTK, he showed in his original run that it is easy for him.
Finally you use all his versions to create a good powerset for him, so I will applaud you for that. I personally want a few more weakness, and a Lil more similarities with Superman, like being a solar battery. He already can use his heat vision or full TK at a distance, and block magic, he doesn't need to be invincible.