2. Syntax highlighting is hard to get right, but I'll add it eventually.
3. Postico by default runs all the queries, you can use the popup menu at the bottom to toggle between results. Select some text (even discontinuous selection using ⌘) and only the selected part is executed.
4. Key bindings are shown as tooltips (hover over buttons for a few seconds), and you can find more keybindings by looking throught the menus.
5. The history search totally makes sense and I just haven't gotten around to implement it yet.