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Ok when you say full is it over full or perfectly at the hot mark. Over filled can cause slippage.next step would be to verify whether the proper fluid is in there I believe the sc300 auto trans takes dexron atf unlike the sc400 which takes toyota type iv.someone please correct me if wrong. Hard to do unless you either have service records or send a sample of your atf to blackstone for analysis. So you may want to begin draining and refilling your atf ,there are numerous writeups on how to do that in a slow safe way that doesnt involve a hard flush. Atf has friction modifiers in it that manufactures design the trans around so if it doesnt have the correct fluid it may not behave.
But just to make sure we understand the problem, is it that the car will not shift out of park to drive or once in drive slips and has no power?