It depends on which side was bare. If it's the outside, it means the slides are rusty or not greased. Lack of lubrication on the slides can also cause pulsation because it takes more force to move the caliper back and forth and as a result the brakes apply slightly more twice per wheel revolution giving you the pulsation. If the inside is worn more, then it means the caliper is bad or there is pressure being held in that line. That's what my textbook said and that's what most people on here say, but from what I've seen if the slides are properly greased it will cause accelerated wear on both pads.
Do check the side it's pulling toward, but also check the other side. If you got grease on the rotor or new pads it won't do as much as it should.
For the pulsation, it's a good idea to have the rotors machined any time you do pads, they tend to develop a pulsation if not machined. Don't ask why, I don't know, I have just observed that from redoing the quick-lube shop's brake jobs so many times. On heavy duty brakes, you can usually get away with not turning them. The rotors on my 3/4 ton truck have never been turned or replaced and they have 170k miles on them with no pulsation at all. I don't remember what year they switched from tapered opposing roller bearings to the hub assembly, but with a hub assembly (w/ slide on rotor), what happens a lot of the time is the rotor comes away from the hub when the lug nuts are removed and rust chunks get in there and cause it to wobble. If that's the case I bet you can just remove the rotor, clean all the rust off, apply some anti-seize to the hub and be good to go.