Well done on the tree. Looks good. Might I suggest two things to consider?
First you should seal wounds where branches were removed with a sealant just to keep moist out as this is the perfect breeding ground for mold and fungus. It also on some trees cause the tree to rot as water weakens the wood and it rots away.
Second If it was me I would plant the tree in a bigger pot for now just to grow faster and heal over. After that you can pot it into a bonsai pot again. Trees develop faster in nursery containers or big seeding trays.
That’s what I would have done. But there is nothing wrong with what you did. đŸ˜‰
Nice move with using a saw to cut through the tender bark.
RE: Chinese Elm: Late Winter Pruning [Bonsai]