Hi Halla,
Forget about it. Moreover, definitely don't even consider signing a contract until you've seen your apartment. Yes, you can negotiate to have all your utilities paid. In fact, you should negotiate for that as well as having a computer in your apartment and your internet paid. Also, you should make sure they will have a water dispenser in your apt. with water provided at their cost. In regards to the salary, it is way below what you should accept for Beijing where the cost of living is much higher than other places in China. Not only that, in my opinion, Beijing is nothing to jump up and shout about. It's a hustling, bustling city and cool if you like that sort of thing. However, my advice would be to ease your way into the whole China thing by finding a job in an area that's not quite so fast paced.
Most importantly though, be very careful about working with agents and be very selective about whom you choose to work for. If they won't negotiate with you, forget about them. Search through the archives here at eslteachersboard and you'll find lots of useful information.
One last thing. If the contract has a breach clause, that's to protect them - not you. A contract is generally not worth the paper it's written on and is there only for their benefit. Don't agree to any penalties whatsoever. If you need to leave, for whatever the reason, you need to have the leeway to do so.
Good luck.