The only real problem I have heard about the '10 series was that they were somewhat underpowered for the wieght and class. I guess you had to run them a little harder to work out of them. The '10s were the first of the John Deere New Generation Tractors that revolutionized the way John Deere made tractors and what they look like. I have heard that John Deere took what they learned from the '10 buyers and made the appropriate changes in the famous '20 series, especialy the 4020.
As for your use, I would think the 2010 would be fine around a small farm or if needed to mow large tracts of grass or cut some hay. I would also agree that the true measure of a tractor is how it has been treated by its previous owner. I know if I could find a 2010 around where I live, I would sure give it a close look over since it would be ideal for my uses.
I don't own a John Deere, but my Father in Law does. Perform preventative maintenance and the tractor will last you many years.
Jim