In its free body diagram, there are only horizontal resistive forces. How can a car accelerate forward? I am wondering why a car can accelerate forward even if no forward net force acting on it. See the following diagram.

I don't draw the internal forces due to engine because they don't contribute to the external net force. What am I missing here?
 A: You are probably remembering that friction works opposite the direction of motion, and thinking that means that friction forces work in the direction opposite to the direction that the car is moving. But it's not the car that is making contact with the road, it's the wheels, and the whole point of a wheel is that the point of the wheel that is making contact with the road is at rest with respect to the road. When the engine applies torque to the wheels, the force on the bottom of the wheel is backwards, so the friction is forwards.
A: The friction forces on the bottom of the tyres should point in the direction of motion, not the opposite direction. If there were no friction the wheels would spin and the bottom of the tyres would move backwards on the road surface. Friction must oppose this relative motion. It is this friction that accelerates the car forwards.
A: Newton's laws apply to a point-like object or a rigid object that can be effectively considered point-like.$^1$ This is manifestly not the case here, since the car consists of its body and the weels, which move in respect to the body. The wheels exert the force on the car axis, which makes it move forward/accelerate.

$^1$ All the textbooks and most teachers explain it, but it is easily forgotton, as most people focus on the equations. This notably leads to many mistakes/"paradoxes" when trying to apply Newton's laws to human body, see, e.g., this thread.
A: The forces $F_1$ and $F_2$ are not applied to the wheels. They're applied by the wheels to the road surface, which is presumably attached to a very, very massive self-gravitating object that doesn't move very much in direct response to them.
The reaction force to $F_1$ and $F_2$ accelerates the car.
