help figuring out how to replace/repair this component
If the u-B receptacle is broken inside (broken plasic an/or bent/folded contacts), you need to replace this part.

This seems to be a through-hole mount u-B connector (for good mechanical durability), which would be really difficult to remove without some damage to PCB, even if you have a hot-air "pencil" like this one, 



Another tool is a small propane torch, but you will need to be very-very careful not to burn your board.

There is a more safe method to remove the connector. You need to get a miniature shear cutter, and accurately cut the connector housing into pieces, down to short remnants near each soldered-through mounting hole/slot. After you remove the bulk of connector's shroud, de-solder each signal pin one-by-one, and then de-solder each piece of shield one by one with a regular soldering iron (with sufficient power), helping to remove the pieces with tweezers. 

You should be able to find a replacement part of exactly the same shroud mounting shape on Digi-Key or similar places, look for USB connector, then "micro-B receptacle", you will have a hundred of variants.

And have a good luck.