On the first point, if you get to a conclusion within logic which marks it as “self-defeating”, then from a logical perspective logic doesn’t work. Non-logic doesn’t matter for those who aren’t logical, but for a logical person logic matters.
On the second point, once you start postulating actually viable alternatives to the world not existing, and considering the Evil Demon Argument, there is nothing in there which is actually dealt with.
On the first point, if you get to a conclusion within logic which marks it as “self-defeating”, then from a logical perspective logic doesn’t work. Non-logic doesn’t matter for those who aren’t logical, but for a logical person logic matters.
On the second point, once you start postulating actually viable alternatives to the world not existing, and considering the Evil Demon Argument, there is nothing in there which is actually dealt with.