The PHOBOS experiment is uniquely capable of studying multiplicity fluctuations and correlations in particle production in full azimuth over nearly the full rapidity range available to RHIC collisions. Most dynamical scenarios predict characteristic correlations, whether over the full rapidity range, or localized in regions of rapidity or azimuth, which naturally lead to non- statistical fluctuations. Results will be shown on forward-backward charged particle multiplicity correlations as a function of mean pseudorapidity and the bin size, corrected for detector effects. These correlations should provide insight into both short-range and long-range effects. Results will also be shown from a search for rare, unusual events in the full PHOBOS acceptance for the full 200 GeV Au+Au data sample. We look for correlated deviations from mean behavior, a method which is sensitive to long-range modifications in the single-event pseudorapidity distribution.