Pulsar search primarily involves looking for new pulsars in certain regions, e.g. may be in globular clusters or towards Sagittarius A* (i.e. near the supermassive black hole of our galaxy), etc. . Pulsar observation is more general and encompassing - it may include detailed observations of pulsars like Crab PSR, Vela PSR, etc. or of some interesting milli-second pulsars, and so on.
You are welcome. You have to first plan which characteristics you wish to study - whether sweep of polarization across the radio pulse or pulsar glitches or correlation between period derivative and polarization during the glitches. Please discuss these with your seniors in the observatory.