Ya you should be able to, but it's not very wise to use more than half of all the money you own on a car you don't really need. I wouldn't put down such a large payment if I were you. I would try and get the best and lowest payments you can and pay it off slowly and build up a credit. If you every hit the jackpot later, or get a higher paying job or something, then you can put down another 10K if you want to pay it off rather quickly. So make big payments if you've got the money, and want to pay it off fast. But if not, then get the lowest payments you can like most people do, in order to keep saving money and build credit.
In your position, I would try to get a 2010 for around 40-50K depending on the best deal you can find. And I would put down at least 10-15K also depending on how much it affects your payments. And about the repairs later on, it depends on your monthly income. If you can easily afford a $400 dollar payments every month for a car, I'm assuming you can afford the maintenance on this car as well as long as your making pretty good money.