Dear Waqas,
Your car, key and remote are perfectly alright.
You can only start the car using the remote inside the car, or with the other key which has a bigger knob by inserting it to the ignition switch.
But with the small key which is inside your remote, you can only open the doors and cannot start the car if the remote is not in the vicinity of the car. (it is useful only if your remote battery is very weak and you cannot open the doors, so open the doors with key, push it in ignition and put the remote very close to the ignition switch so it can be detected and then you can start your car)