What a fascinating vessel you've chosen. That bow bulwark is downright hilarious, and I'm glad to be made aware of such a unique design.
Would you be interested in some helpful nitpicking?
The 2-Gun Schooner
In case you're not entirely satisfied with the sound of '2-gun schooner,' the British would call her a Gun Schooner. Or even just an Armed Schooner. Very small gun counts were usually referred to that way, even if the vessel did not fill the Gunboat role.
Due to its size and lateen-rigged sails,
Those are gaff-rigged sails, not lateen. This is less of a nitpick and more of a genre faux paux.
I could comment extensively on how they perform relative to square sails, but I don't know what you are shooting for on the authenticity vs. balance spectrum.
This means that it would be best to lower them if you want to go towards that direction.
This is a common misconception about square sails. No square rigger would ever furl its sails when going to windward, they would just take their lumps and make headway within six points of the wind (65-70 degrees). Schooners with square topsails would brace them up sharp and use them to windward also.