Open the level sequence in Sequencer. And click down the dropdown arrows under your character. Make sure there are keyframes there. Since it plays in Simulate it sounds like there is but its odd you have to simulate to play it. That usually means there is some sort of logic somewhere that needs to run.
Try recording to a spawnable if you are not already. Something is interfering or impeding with the playback. Also double check the TR settings that it is recording all the correct bone data.