Re: What to do?
It all sounds reasonable and you're definitely on the right track (welcome to Sailnet btw!), however to do it right you need to do it motorless. Your planned route is easy in a pure sailing vessel, no reason to complicate things.
Gun wise, I recommend black powder, you can't go wrong with the convenience of a muzzloader. .177 calibre is also good for fending off pirates, I like spring loaded single shots in that calibre personally.
Regarding anchors, any will do (just make sure you have good rope).
Fair winds, please don't forget to link your blog here so all can follow!