Fairly good chance there is a connector either at the roof line or just inside the roof, buried in caulking,
If there is.. You are in luck. Only need to replace the cable above the roof. I recommend the best quality cable you can get.
if you can replace the cable all the way (or if you have to) Please consider RG-6 over 59,, Very slightly better, same price usually.
You may also wish to re-route, If I were replacing the full cable I'd route to where I could come straight down, then run it UNDER the ceiling, Why,, Beats the )@# out of pulling the ceiling down.
Home is where I park it!