Hi Eainne,
1. You can change that for each taxonomy here:
2. Unfortunately that is not possible on archive pages. You can do it on separate pages though, with the elementor pro products widget (not products archive).
3. Well, I noticed that the return and the magnifier actions are probably not set properly. Since you are using WooCommerce, I recommend changing them to redirect to the wocoomerce results page: https://documentation.ajaxsearchpro.com/behavior/return-key-and-magnifier-icon-click-actions
4. You can use the Export/Import feature. But please mind, that taxonomy type filters may need to be reconfigured, as the taxonomy term IDs are probably different on each installation.