As Noel suggested, first make sure you're on the Sharkweek (build 32) release of Foxboro. There was an issue with rendering tempo changes in the initial Foxboro release. For dropped notes, make sure your MIDI Prepare Using buffer is at least 500ms. And, lastly, beware of a Bitbridge bug that will add an empty buffer of audio to the beginning of 32-bit synth renderings, which can put them noticeably out of sync if your ASIO buffer is high. This affected the 32-bit BFD ECO.
I can't comment on MIDI-generating VSTs as I don't generally use them. If you can consistently reproduce a problem, definitely file a formal problem report, and/or run the recipe by the Problem Reports forum for possible confirmation.