Carbon and stats
It's easy to set up ring games on Carbon, but I don't think you can set up tourneys.
As for keeping your league stats, may I suggest homepokertour.com
I use it for our annual series. I log in finish / cash in / cash out/ points. It's easy to update and administer and it's free.
I'm not affiliated with it or anything - just find it to be a useful tool. I looked at several others and thought this one was the easiest to use.
We run our series over the whole year, making up about 40 games. We collect an extra $2 each night. One dollar goes into the championship pot, the other in to the badbeat jackpot. We struggled to find trigger that grows but is not impossible to trigger. Our rule is at least one hole card and the losing hand gets the whole jackpot - usually over $100 by the time it's tripped. Qualifying losing hand is aces high FullHouse the first month, then every month it goes down a notch (KKKxx, QQQxx, etc) until it stabilizes at 222xx if it gets that far. It probably won't.
As for the championship pot, our annual champion get's a $330 direct buy-in to a WSOP
satellite at the local casino. Any extra and we use it for new cards and things like that.
Anything our champ wins locally is his. Anything he wins at the WSOP is split: he gets 50% and the top 10 points finishers split the other 50%. We award points for finish, money finish and bounty (knocking off previous winner = 2 points).
This was more than you asked for. I find the online data entry easier than updating it in a notebook.