  We present a detailed analysis of the properties of magnetic reconnection at
large-scale current sheets in a high cadence version of the Lynch & Edmondson
(2013) 2.5D MHD simulation of sympathetic magnetic breakout eruptions from a
pseudostreamer source region. We examine the resistive tearing and breakup of
the three main current sheets into chains of X- and O-type null points and
follow the dynamics of magnetic island growth, their merging, transit, and
ejection with the reconnection exhaust. For each current sheet, we quantify the
evolution of the length-to-width aspect ratio (up to $\sim$100:1), Lundquist
number ($\sim$10$^3$), and reconnection rate (inflow-to-outflow ratios reaching
$\sim$0.40). We examine the statistical and spectral properties of the
fluctuations in the current sheets resulting from the plasmoid instability,
including the distribution of magnetic island area, mass, and flux content. We
show that the temporal evolution of the spectral index of the
reconnection-generated magnetic energy density fluctuations appear to reflect
global properties of the current sheet evolution. Our results are in excellent
agreement with recent, high resolution reconnection-in-a-box simulations even
though our current sheets' formation, growth, and dynamics are intrinsically
coupled to the global evolution of sequential sympathetic CME eruptions.
