Hi Blair,
Thanks to @jmehnert you have the answer to the first part of your question about replacing the micro USB port.
To respond to the second half regarding upgrading it to USB-C, that's gonna be a no. USB-C connectors have several more signals than a micro USB port and consequently the printed circuit board footprint for the two connectors is completely different, so there's no way to correctly solder in a USB-C connector on a micro USB footprint.
I remember reading some time ago about people researching the idea of a USB-C connector that utilized a micro USB footprint, but as I recall that thread didn't really go anywhere; I don't believe they found any such creature in existence. You can try your own search on the subject if you want; that's the only way you could reasonably accomplish that conversion.