13dx short and engine off at highway speed

[csmith72]

So on trip out turn signals, rail light and brake light stopped working. No other symptoms. I was almost empty on gas so filled up. Before heading back replaced light fuse it was blown. Ride back was okay about 1/4 the way then turns went out again along with tail and brake. Knowing I had no more spares I kept going trying to make it home. At 75 mph engine shuts off like it would if I ran out of gas. While still moving and in gear twisted throttle a few times and engine comes back to life. Happened a few more times but by then lowered my speed so not as scary. Twice happened to the point throttle twist didn't bring back to life, had to hit start switch to bring engine back. When I did hit start headlight goes out while starting....

So looks like definitely a short, possible low battery, but not sure if engine stall is related or yet another issue to look into. Plan to find and fix short, check battery and charge if need be. If engine stall continues will drIn and replace gas. Any other ideas o. Stall?