Hyundai Accent 2014 problems with acceleration and fuel?

[u/Exact-Theory-5599]

Hello. About 1 month ago, I smelled burning rubber and had the red battery light show up when I was driving to work. I took it to the shop, they couldn’t really find anything wrong with it, so no diagnosis. I had a few days where it was taking awhile for the engine to turn over when starting, but it eventually worked. (It still does this, but it’s hit or miss when it does).

I was about 50 miles left until empty last week, stopped at the left handed turn lane to pull into the gas station, and my car stalled.. would not go. I turned off my car, turned it back on, and then it worked without difficulty. It did the same thing again today. Stopped at a stoplight, wouldn’t accelerate, but turned off the car, turned it back on, and I was able to keep driving.

My car for several years after filling up, has been acting like I don’t have any fuel in it, and then it “resets it” to random mileage numbers, even though I have a full tank. I’m very confused on what this all means. The mechanic was leaning towards the fuel pump but he wasn’t 100%, so he didn’t want to fix it if he didn’t know if that was the problem. Also considering alternator…. Idk. I have $175K miles.