Why Bajaj Pulsar AS200 vibrates so much, is it an engine issue or can be fixed in service? Why the pick-up is not good in 2nd gear?

The Bajaj Pulsar AS200 would get more refined as its first 3 services are done. The vibrations are generally caused at higher rpm's and high speeds. The bike gets a refined engine in the form of 199.5 cc liquid cooled motor. You should not worry as frequent servicing would make the ride quality better day by day and the pickup would increase after the service also. The bike gets 18.3 NM of torque, making it good to accelerate the bike in 2nd gear. You should consult your nearest Bajaj service center as the fuel settings and other details are also responsible for lower pickup in the first few service intervals.