You can try it. Download the trial at Web publishing software | Adobe Contribute 6.5
It should work fine. I'm assuming this is a templated HTML site?
As to whether it will make it "easier", that's all relative. It definitely has more options than Contribute 2. I'm sure there will be a learning curve.
To find out how many hits your site gets, you could use Google Analytics. It's free and gives you that information plus much more.