Easiest way to check the charging system is to use a voltmeter & see what you're getting at the battery with the engine running. Does your boat not have an ammeter? Thought the CVXs did. Anyway the meter shouldn't read any less than 12V, duh. And if I remember correctly no more than 13.8V. Yes the voltage regulator, rectifier if you will, etc is on the stb side of the motor. Btw what year is your motor?
Don't "check" the fuel line. Replace it, along with the connectors. Cheap insurance. You can buy all the parts to do it from Attwood @ your local China(Wal)Mart for under $30 bucks.
Best of luck!