Pain, stiffness, tightness, aching...this is normal for any part of your body you don't or rarely use and then start really working. With that said, incrementally and slowly increasing workload is the way you build your body to be able to do incredible things. Suddenly starting to use part of your body should be done at very light loads. 1 mile may not seem like a lot compared to what you know might be possible with time and training but the best advice I have is to go as light as you can when you start.
Id look at walking regularly (if you weren't doing that) first and you can go further than 1 mile likely, then once you've done that for a few months, ramp up to short jog maybe start with half a mile more often, whatever. A mile is an arbitrary length, the important part is slow and steady. Once your body is used to x after a few months then increase if all feels good.