1) Assuming you cannot save due to the button being greyed-out, make sure you aren't attempting to save inside a social arena zone -- the game simply will not allow it. Leave the area or the stranger wolf zone and try again elsewhere and you should be able to save. If not, it may help to know where you are when you are trying to save and what exactly happens when you try to save.
2) After you have found a mate, check your map for a green zone near Dry Creek(iirc?) and compass for a star icon. Head there and you'll be prompted to migrate from Amethyst to Slough.
You may want to post a new topic in the Discussions hub on WolfQuest's Steam community instead as you'll probably receive faster replies there and you have better chance of receiving a response from the developer. Same goes for the wolfquest.org community forum. The Wiki is largely ignored/very much dead and as such it isn't the most ideal location for support-related help and requests.