Back went out sat. Now I'm leaning to the side. Shoulders are at different heights. Never happened before, I have sciatica. Will body straighten out?

Generally Yes. Obviously acute injuries can result in muscle spasm and irritations. You should seek medical care if you are still hurting if you are not better in a few days. You may need a stronger anti-inflammatory medications and muscle relaxant. If not better with that consider evaluation with xray and mri.