Bad starter or bad battery? Buick lacrosse cxs

What is your question?

My car won't start and I'm not sure if it's the battery or starter. When I pumped gas the past couple of times it wouldn't start right away it would make a humming noise for a while then start up. This would only happen when I would pump gas. I tried turning my car on and now it won't start but when I turned the key everything in the car would turn on on its own(whipers, radio, heater/AC and then the car alarm sound would go off too). I tried jump starting it too and it wouldn't work. Also when this happened the ABS, traction light and engine light turned on. Any help would be great.