Car keeps dying!!

Alright guys, so for the past week everything inside my car that uses power keeps flashing (gauges, radio cuts on and off, radar detector, etc.). Didn't think much about it at first. Went up to North Carolina, and the car kept wanting to hesitate all the way up there, like it would stumble at times. Got up to NC and the car wouldn't start. Jumped it off, and the car works fine, but whenever you turn on the radio or anything inside the car, everything starts flashing again. I have know clue whats going on. Battery light comes on ALL THE TIME and then goes off, but the ABS and E Brake lights come on as well at random times. We just replaced the battery, wasn't the problem. SOMEONE HELP!!!! (Only way to get car started is to jump it off, it will never start on its own)

Mods:
DTEC FC/BC
PTP Wastegate
AGP Hardpipes/HKS BOV
AEM Wideband