Welcome to the site and to wood heating. Its a great way to heat.
Good setup by the looks of it. Good that insurance is set, mine is $50 per year for the stove. I may put a solid base under a new stove for ease of cleaning instead of those rocks. Cool look though, rustic.
Looks like an older stove, but you could upgrade like said and when you do, look for a secondary burning type, meaning that there will be air tubes at top of burn chamber to inject air and re-burn gases. They are much more efficient and will save you money in wood. Bigger is always better with a wood stove, so if you think you need a medium, upgrade to a large.
Looks like that black stove pipe could be cleaned and inspected and repainted. It looks rusted.
If repainting, note that a smell will occur during first burn. I had to open doors/windows to let smell of paint residue out. It looks like an 8" diameter. Most stoves have a 6" out for chimney pipe. Some like the larger Blaze Kings have 8".
Also make sure you are two or three years ahead in seasoned firewood. That way your wood will be super seasoned and dry to reduce creosote buildup and risk of chimney fire.
I'd buy a good chimney brush with rods and learn to do the sweeping myself. It'll save you money and you'll know it was done right and good also could do it whenever need be.
Hope we didn't scare you too too much.
Below is my Drolet HT2000 upgrade from my old wood stove and the connector pipe alteration, cleaning and repainting.