Hello Skruf11, it's certainly possible to reset them. In fact, I've got them reset for you now. You should be all good to start over on your new island.
I could use a full reset as well, played some time ago and having to start over, i was able to reset the quests myself, by making a new team, but the rewards did not. Thank you very much, whomever reset them for me.
@Eander123 Please make a new thread or a ticket in-game using "/ticket create" instead of posting on threads for other issues. Requests like these can be easily overlooked due to this thread's status of "Done"