Part of the issue of how much you can see seems to be about the games size on the screen since you can kind of zoom out the game by zooming in the web page on itch so your game might look different in the browser than when you test it in godot, maybe that can be adjusted by the viewport size on the itch page, although I'm not sure about that since I also had some troubles with that. I think all the settings that affect the size are the window settings in your project settings then some are in the export settings and then the viewport size on itch, try playing around with those.
I love the art and for a first attempt it's pretty this is a pretty good game already.