Engine shuts off, check engine, oil pressure and battery lights turn on

Hi, so this morning when I was on my way to work my engine shut off and the check engine, oil pressure and battery lights all turned on. I tried to restart it and it would start but shut off after a second or two. I was able to get my car back home by starting the engine and revving it. It was able to run as long as I was pressing the gas, whenever I reached a red light it shut off out and had to be restarted. Also my MPG gauge is fluctuating randomly from 0-99 MPG. I just added a new battery last night and drove it for able thirty minutes so I do not think it is the alternator, the battery still has charge.