  We explore effects of the screening due to the relativistic electron-positron
plasma and presence of resonances in the secondary reactions leading to A=7
nuclei during the Big Bang Nucleosynthesis. In particular, we investigate and
examine possible low-lying resonances in the $^7$Be($^3$He, $\gamma$)$^{10}$C
reaction and examine the resultant destruction of $^7$Be for various resonance
locations and strengths. While a resonance in the $^{10}$C compound nucleus is
thought to have negligible effects we explore the possibility of an enhancement
from plasma screening that may adjust the final $^7$Be abundance. We find the
effects of relativistic screening and possible low-lying resonances to be
relatively small in the standard Early Universe models.
