Before examining the theory in more detail, I'd like to make a few points.
Literal
Theory [object-を] more-detailed examine before [time-に], several points [object-を] want-to-do.
~する前に (before doing X) sets up the sequencing. 吟味する (to examine/scrutinize carefully) is a formal verb. いくつかの指摘をしておきたい (want to make some points in advance) uses ておく for preparatory action.