The photos are a little dark, so it is hard to judge the soldering. You should have better light next to a window or even outside in the daytime.
But time is short, so we'll work with what we have. At least 90% of all SD card reading issues are due to soldering problems. Some of your joints look a bit lumpy which can indicate a 'cold' joint, Others look like they may not have flowed well onto the solder pad. Take a look at this guide and re-touch any that look suspicious: http://learn.adafruit.com/adafruit-guid ... n-problems
For SD card reading problems, the joints that are essential are:
The SD card holder
The buffer chip next to the card holder.
Digital pins 10,11,12,13