I just changed to the Amber skin, just in case. While it looks great, it still does not connect. The status goes to "LOADING..." and then the fail dialog box "Server is Offline or Not Responding".
PleXBMC version 3.2.2
That's an obsolete version of PlexBMC, not up-to-date with current PMS standards.
I recommend that you use the newer version 3.4.3, modified by pecinko and others, and that you combine this with one of the newer versions of the Plex-adapted Amber skin (also by pecinko), such as 1.3.1/1.3.2 (for XBMC(Frodo)) or 1.5.7/1.5.8 (for XBMC(Gotham)).
I use such setups myself with both Frodo and Gotham versions of XBMC and these work fine for me.
I can't say for sure what IP addresses are used for their accesses though, as I've never had any reason to look into such logs.
Best regards: dlanor