Are these PCB , and if so can it be repaired?
Looks like the copper pads have been ripped off.  It may be possible to salvage, but you're going to have to be really careful to prevent any further damage.  This looks like it might be a USB connector footprint.  Fortunately, it also looks like most of the traces connect to the pads on the bottom layer. If this wasn't the case, it may not be possible to fix.  What I would do is install the new connector and glue it to the board.  Solder a nice thick wire between the two large pads for mechanical support.   Then scrape the solder mask off of the two thin data traces, the thicker power trace, and the ground plane around the last pin. Use some 30 gauge wire wrap wire to connect the data pins to the traces and use a short piece of thicker wire to connect the power pin.  

Also, you really should invest in the proper tools for rework if you haven't already.  Don't use a $5 soldering iron - you need a real temperature-controlled iron with a fine point.  You won't be able to rescue this board without decent tools.