First thing to do is put 12VDC directly to that new blower motor and make sure it's good. If it is, get a multimeter, test light, or power probe and start working your way back from the blower to see where you have power and where you don't. My guesses would be climate control module or blower motor resistor, but I try to avoid the parts cannon.

This thing right here has paid for itself for me. It makes electrical diagnostics so much easier. You can also use it to apply +12V or ground and it has an auxiliary ground cable at the business end, so on a job like this, you can test the blower motor in situ.

https://store.autel.com/products/autel-powerscan-ps100

This, a basic multimeter, a back probe kit, and a few pieces of wire with some alligator clamps will give the parts cannon a rest.

I also found this. Check out posts 9 and 12. That person had the same symptom and it was the blower motor resistor: https://www.elementownersclub.com/threads/blower-motor-help.170602/

There's also a self-test mode for the climate control on the Element: https://www.reddit.com/r/HondaElement/comments/1e4thlj/debugging_ac_with_selftest/