Personally, I would center the route from P2.37 where it runs under the connector. This could be eliminated by running P2.33 to P3.2 route on the back
You need to put the P1.15 and P1.16 thermal relief pads back. It will make it much easier to solder.
The P3.8 route is incomplete. Again, run it on the back directly to P2.
Something I just noticed, based on the overlay, is P2 going to fit with screws in M2 and M4?
The same P2 and P3? They look like they butt right up against each other.
What's stopping you from using the back of the board to route? What's stopping you from adding a ground pour to the top for the mounting?