My thoughts, you make valid points, but are wrong. There were several plot holes and other things that just don't make any sense, but almost everything you complained about can be explained.

The kids powers were dormant because he was only 5, and also only half Kryptonian, this also explains his reaction to kryptonite being less destructive, humans have a much higher tolerance for it (though it will kill them in the end as well). He probably tapped into that strength to save his mother, just like a parent can overcome their subconscious muscle inhibitions to save their children from shit. The handling of the kid wasn't all that great in my opinion, I think Sups should have hinted at taking a more active role in his life, it's his child, no one else would be able to teach the kid properly,l especially not ditzy-stupid-bitch Lois.

The crystals seem to need water to grow, she dropped them onto dry land and Sups picked it up before they could get wet.

He picked that place up because he's just that badass, besides he was using the same force that allows him to move insanely fast while flying, but instead of moving a small mass at ridiculous speeds he moved a large mass at a slower speed, momentum was conserved so it's not that far fetched (thought giving the hunk of rock escape velocity seemed a little strange, but maybe it'll just orbit instead)

And he survived because he's invulnerable...that's just how Superman rolls.

ANyway I thought the move was good, the emotional element impressed me enough to outweigh some of the bigger leaps in logic...mainly Lois bouncing around inside the plane at 4G's and not dying, that was just plain bullshit...but the movie made me feel, which is a good mark in my book. So all in all I liked it quite a bit.