I would like to mention again that Chinese will say any-frickin-thing they feel like if it saves them one nano-joule of effort, so I wouldn't get put off by what you've described. That's a normal interaction.
Doing the visa paper work can be a pain, especially the first time, but try to take it in stride and just keep pluggin' away and blowing off steam here. The other fellas are giving great advice. If you stay in China for a second contract, you will most likely not have to go through very much hassle like this as the permits can be renewed easily by the same school or transferred with little trouble to another school under ideal circumstances.
Don't take being lied to personally in China or you won't have such a good time. Ya might look at being lied to like catching a 3 y.o. with his hand in the cookie jar. In fact, I pretty much put everything here through a 3-5 y.o. filter in order not to get upset so much. And I'm thinking of recalibrating down another year.