CAUTION: I'M NOT A GUNSMITH. ALL ADVICE TAKE AT YOUR OWN RISK!
If you're not sure in any way, I'd send it to S&W or a competent gunsmith.
Now that's out of the way and you still want to work on it, this is my understanding: All the screws do is hold the plate in place. The yoke screw also holds the crane/cylinder in place. You should be able to tighten them snugly all the way with no binding.
After reassembling your k-frame, the last screw on the frame I tighten is the strain screw that holds mainspring. When you didn't mention this, you may be out of sequence in reassembling. A fully tightened strain screw means the mainspring puts full force on the hammer assembly which rotates on the frame and the sideplate.
Of course you have to remove grip to do this. From the limited information given, I'd do the following:
1. Remove grip. Loosen the strain screw, but not so much that the mainspring completely pops out.
2. Remove all three screws. Carefully, without banging the cylinder against the frame, remove the crane/cylinder assembly.
3. Use the tapping method across the grip location with a wood hammer handle. If this is not familiar you're going have to research this. It's the only recommended method I know of to properly remove the sideplate.
4. After the plate is removed I'd check:
a. Make sure all components are firmly (but gently) press down.
b. Recheck the hammer block location. The slot of the hammer block should be on the pin that's part of the rebound spring assembly.
5. To put the plate back in place there's a edge fit at the top of the frame. You put it there first before press fitting the plate back into the frame. DO NOT FORCE IT.
I've found that when reassembling, I had to angle the firearm slightly up (grip higher and pointed away from you) so that the hammer block stayed in place.
6. Tighten all the screws gradually (like when you change a tire) a little at a time till the plate is snug against the frame. Remove the yoke screw so you can put back the cylinder.
7. Lastly, fully tighten the strain screw. The mainspring will wobble out of place so you'll have to hold it tight until you fully tighten the strain screw. Replace grip.
I left out a lot of details since the assumption here is you're mechanically inclined. Also the assumption is you have the proper screw drivers or you'll bugger the screws.
A good reference (though does not apply to MIM revolvers) is Jerry Kuhnhausen, the S&W Revolver, A Shop Manual.