I didn't get the feeling that the vocal levels were uneven.  Just another opinion, but I don't think they need automation or compression.
I *do* think the vocal performance needs some work.  The vocal tone and pitch are fine.  I think you over-sung it though.  Over done emotion.  Go for another take and dial back "the feeling" just a bit.
Huge pop at 2:07.  Another one at 2:22.  I think there were some more earlier, but I didn't get a time markers.  3 or 4 more after 2:22 as well.