"So, if you look at my folders above, I have a Genesis Essential Poser CF folder on the same level as my Poser 2014 installation (I created this folder as my choice during the Poser installation). Should I move that entire Genesis folder into the Poser 2014 folder, or under the Poser 2014 Runtime folder? Or should I leave the actual folder alone and move all of its contents to the Poser 2014 Runtime folder? Poser 2014 was working fine until I tried to add Genesis, DSON, and the Install manager. If I keep the Genesis folder where it is, there is a Runtime folder in there, but it is further down in the hierarchy of folders."

Neither.  Leave the Genesis folder where it is.  Simply go into the Genesis folder, select all the folders within the Content folder and move them 1 level up (this includes the runtime folder with any content within and any support files/folders at the same level as runtime).  Delete the now empty Content folder.  If your Genesis folder is already linked to your PP2014 Library, you should now see content when you open the PP2014 Library.  

Check your DAZ core folder.  If you also see a Content folder within, that is wrong.  Repeat the same procedure as above.  The core folder should be linked to your Poser Library, however you will not see anything in that runtime because it supports your Genesis folder.

DSON should only be installed in one place, in your Poser Pro 2014 folder.  As mentioned in my previous post, if PP2014 is 64-bit, you must use the 64-bit DSON installer.  ATM, forget the DAZ Install Manager since you already manually unzipped the files already.

Let me know if there is anything you are unclear about.  Also include a screencap of your folders opened with all folders within.