You have a chinese pepper tree.
Take a look here:
www.bonsaiempire.com/tree-species/chinese-pepper
I find keeping trees indoors is a rough excersize. SO if you want to grow bonsai, it is better to use species that fit your climatic zone.
Leave dropping can mean anything from watering mistakes, dry air to insects. Probably it is transition shock; Plants do not like to be moved from one environment to another. Follow the care instructions from above. It will take a few weeks before you can safely judge whether it imrpoves.