Those are classic symptoms of dirty connections at the battery cables. Have someone pull the cable clamps off the posts and thoroughly clean both the inside of the cable clamps and the battery posts with a wire brush. Reattach the cables tightly, and cover the outside of the cable clamps with Vaseline, wheel bearing grease, or one of the spray-on compounds intended for corrosion protection. If the symptoms don't go away with that treatment, try a different battery. I've seen sudden, total failure of a battery due to an internal connector between cells burning out. Good luck!
Jerry

Last edited by Hotrod Lincoln; 03/10/2014 1:28 AM.
"It is better to be silent and be thought a fool than to speak and eliminate all doubt!" - Abraham Lincoln
Cringe and wail in fear, Eloi- - - - -we Morlocks are on the hunt!
There is nothing noble in being superior to your fellow man; true nobility is being superior to your former self. - Ernest Hemingway
Love your enemies and drive 'em nuts!