Chosen Solution
I have done a replacement on an ipad mini dock port and acheived partial success. It can connect to itunes and charge when the lightning cable is one side up but if I turn over the cable it the ipad complains that I am using a bad accessory and will not connect to itunes. I was hoping for a complete repair and would like some advice on how to do so. Also if anyone has a pin-out for this portion of the board that would be handy so I can know which pins to focus on. Here is a photo of my attempt.
First things first, Try a known good cable. Then I would reflow the solder points just in case you are getting 1 or 2 with a bad connection (these joints can be difficult.) If not then it would seem the new port may be faulty and unfortunately may need to be replaced again.
put a sea of flux across all points get a blunt tip on your iron put a liberal tin on the iron go from top to bottom over all of those points, very slowly put another sea of flux down put a piece of solder wick down and lightly go over the points from top to bottom It looks like you have a couple of points that could be arching. It happens. You did a pretty solid job on the soldering, just need to clean it a bit. The wick won’t suck up any of the solder making the connections, it will just grab the excess. You want to reflow the solder before you use the wick, with lots of flux. This will make it so you don’t have to scrub with the wick, just a light pass vertically.