The N-CBS (and also N-Boc) is a carbamate. In carbamates, as in amides, the rotation around the N-C bond is often slow enough to be noticed on the NMR time scale, causing broadening of the peaks or sometimes resulting in two sets of signals (i.e. a mixture of so-called rotamers).
This may also show in the 13C spectrum.
You may be able to prove that this is the case by recording NMR spectra at higher temperatures. If, at some higher temperature, the signals get sharp again, or collapse into one set of signals, this means that the rotation has been speeded so much that the NMR can lo longer distinguish between the two rotameric forms.
This said, I cannot see any obvious explanation why you would get sharp peaks after the epoxidation step. But rotamerism is in my experience more of the kind that it sometimes shows in the NMR and sometimes not.
Good luck!