Can anyone help me with this Facebook quandary - Details revealed...

So, I have two Facebook accounts. One for me and one for my Facebook “brand.” When I’m cruising around on the Web, if I want to “like” something, it seems to :
a) Prompt me to switch to my “me” account, not the “brand” page I set up. If I do that, it seems that no “like” shows up anywhere (I want to “Like” as my Brand page.)
or
b) Yesterday, I kept on getting this image and clicking on it would do nothing. (Sorry, it’s tiny, and yes – those are dreadlocks!) I’m not much of a Facebook guy, so this is all rather confusing.
Thanks!