Political rallies/campaigns/etc and songs

Of course one needs to educate himself about the basics, but there is a reason copyright lawsuits are handled by the pros.

And FYI, you are incorrect about the happy birthday song. Apparently, that matter has been settled:

http://www.hollywoodreporter.com/thr-esq/warner-music-pays-14-million-863120

I will defer to our copyright legal experts to comment on the case.