Freeze homemade ravioli, or cook fresh?

Yes, you can freeze uncooked. (ever see packages in the grocery store?)
Just be sure to package well and plan to eat it within a month.

I like to cook ravioli in a flat pan, but others prefer a big pot.

When I was growing up, one of our favorite and most often requested special dinners were fresh homemade ravioli and sauce from a retired neighborhood entrepreneur. Mrs. Molino's raviolis came in a box the size of a small pizza and we'd buy several boxes of them, one to cook that night and the others for the freezer. She made them in her home kitchen and people would drive up the long driveway to their house to pick up their orders.

I don't remember there being much difference in the two.

Believe it or not, her business is still going strong more than 50 years later with the next generations of Molinos.

Here's a photo of her ravioli production from their website: