2 weeks into internship and i'm already sleep deprived

Tbh 5 hrs is not too bad... Most people only sleep 7 hrs anyway. The reason you're feeling so miserable is most likely because of your commute. Having a long commute (I used to do 45min each way and almost pulled all my hair out) is mentally draining from personal experience and I had to turn down events/drinks often due to it. I would highly consider moving into the city if you work long hours.

You can adjust to 5-6 but it's not comfortable. At some point (1 month, maybe) your sleep pattern will feel more normal... that said, for the $2400 you'll pay down in debt now vs. when you're working FT, I don't see it being worth it taking that commute.

You're not gonna get used to not sleeping fast enough to make the most out of your 10 wkinternship. The commute is not worth the extra savings if you're feeling too sleepy to properly function.

I believe it takes your body 21 days to form a habit so take that as you wish.

Find something closer to the office. You can always save the money you'll make when working ft.

Just sleep in the office. I would probably look around for some meeting room that's usually vacant, and hide yourself under blankets. That way, you get to save money on rent which can be used to pay down debt, and you probably maximize your sleep amount. Problem solved.

At least you get 5 hours of sleep, I'd nail 2-4 hours of sleep if I am lucky.

I agree with rand. Once you get in the office, take sleeping pills, that way if your found they cant wake you up and when you do, you will be feeling good man. Trust me man, i know of soldiers who have slept in open battlefield.