RE: twisted limb ?
Probably the easiest way to see a twisted limb on a recurve is to draw the bow and then let it down slowly. Sometimes on a limb with slight twist, you can feel the string pop into the string goove on the belly side of the limb tip. Or the string will run off to one side of the groove.
About arrow spine. You can match the arrow spine to the poundage, but you also have to match spine to your shooting style. Some guys have a very smooth release and can use an arrow that should be way underspined. Some guys aren't that slick on the release and need a heavier spine than the charts call for.
But it really sounds to me like you need to fiddle around with your nock height and brace height. Raise and lower your nock until you get rid of the up and down porpoising. Then raise your brace height until you get rid of the side to side tail wagging.
Besides spine and tune, the only other things that can cause bad arrow flight is trying to shoot plastic vanes off the shelf or a very bad release.