I love it!!! BGD did such a good job on the bezel.
And though names don't matter really, I would personally call the pendant stone an OMC based on the faceting and the cushiony outline, plus that itty bitty table and steep angles (check out the kozibe in a face on shot!). And your engagement ring looks like an early ideal cut or perhaps even an early modern brilliant -- those super long lower halves and the table in the mid 50s suggest a later style cut to me, perhaps into the 1930s!