This project is far to easy for an "exam" project for 1 person let alone a group!.
The project is accepted by the educator, and it is at the right difficulty level.
For the camera part I suggest you just use a wireless webcam and use an application on a PC to grab images from it and post to your web site.
The bot should be able to send the pictures to the server, without the need of anything else, that a WIFI router and the robot itself.
But, otherwise an great solution!
.... do you mean make the vehicle from scratch
We are most likely going to buy a Tamiya set of belts, like this: http://www.let-elektronik.dk/tamiya-70100-track-and-wheel-set.html
And the motors and gears required, like this: http://www.let-elektronik.dk/tamiya-70097-twin-motor-gearbox-kit.html
Based on these, we are going to construct the chassis in a 3D printer.
We are going to make our own motor control, using breadboard, or making our own board.
We have a few months of experience in Arduino programming, before that both me and my friend have several years of programming experience, in web languages. We have used the basic Ardunio tutorials, and will make sure to take a look on the other site you linked, thanks!
So, for now, the motor, movement and programming is covered.
The things we don't know about is:
The best/cheapest Arduino Wifi connection, possibilities.
Which "cheap" camera should we use.
Do we need an internal storage on the robot, or can we send the image, without saving it to the Arduino.
And maybe, the best way to control a dc motor, without an shield.