No. Your fuel pump is fine. You have not stated any symptoms of a bad fuel pump.

You have stated several signs of a bad/cheap/weak/dead battery. 200cca is not enough for a Buell, so get rid of the Wal-mart special and get a GOOD QUALITY 220cca AGM battery. DEKA is a favorite brand around here.

After you buy and install the GOD/ QUALITY battery, put your voltmeter on the terminals are re-check your charging system output voltage at 2500rpm