Have you ever taken your Six apart? If you have, then you would see that the crane, where it goes through the frame has a piece (cylinder latch plunger) that butts up against the cylinder latch. It is spring loaded to put pressure on the cylinder latch to keep the latch in the correct position. If you press on the front of the crane, the cylinder latch plunger spring will compress a little and then go back to its resting place when you release the crane. This is normal operation for this piece. I would be more worried if I pressed on it and it didn't move, or moved and didn't automatically return.
The ejector rod wobble is probably from a slightly bent ejector rod (this can happen due to many different reasons) but if it doesn't bind when ejecting the rounds then there isn't anything to worry about. Worst case scenerio, take it out, put it on a flat surface and roll it until the high spot is up and tap (notice I said tap not whack) it with a hammer to straighten it out and reinstall.
If you take it off and find the high spot, just hold it with your fingers and tap it with whatever hammer you have. Using a c clamp won't work because you're not putting that sharp blow on the metal at the bent spot. Go easy and test it after a couple of taps to see what is happening.
The other way would be to find the high point, then rotate the rod so the high point is down. Then clamp the rod on the edge of the flat surface. You should then be able to see the upwards curve of the rod. Then tap the end of the rod to bend it downwards until it looks straight. Roll it on the flat surface to see if it needs any more bending. Reinstall.
There are a lot of other ways to straighten it out but some are more of a finesse/touch type repair. Tapping it with a hammer to bend it works fine, just don't be heavy handed.
Then when you're done, use some fine grit sand paper to take off any marks that made have been made. Then, if stainless steel, just polish it up a bit. If blued, you may need to put some cold blue on it if it got marked up a lot.