Hi welcome and sorry you've had a response yet. Firstly I'd say try not to worry too much she is still very very tiny and any rocking, bouncing , cuddling won't hurt her and she may just need your smells and comfort at the moment.
Both of my boys never wanted putting down until they where 12 weeks plus, and my second lived in the sling for months.
Does she suffer from wind or any reflux pain? Does she have good sleep cues?x