Hi. I've passed a course on phenomenology at the university and I think all the points you wrote are correct but it must be added that Husserl is not really doubting the outside world or saying that it is dependent on mind but he just says that this world of natural attitude is not of his interest. We must not forget that there are always others in the world, so it is definitely not dependent on our own mind at least but is constituted by all of us together.

As for intuition, this is a hard think to understand. I.Kant said that noumenon can be defined as an object of non-sensible intuition which we, people, do not possess. E.Husserl disagrees with Kant on this point and thinks people do have an intellectual intuition which enables them to grasp the true entities by seeing them with self-evidence. And phenomenology doesn't explain, it only describes what is seen. It is supposed that when we see properly we will see the same self-evident things. This is a big problem indeed.

I think this argument of res cogitans and res extensa not being able to interact is the reason why Descartes tried to place soul in corpus pineale. However, Leibniz tried to overcome the problem by stating the pre-established harmony which explains that mind and body can be corresponding with each other without interaction.

Nevertheless, I think dualism has a big problem indeed. If we say mind is not anywhere in space and yet it is obviously temporal then why we don't hear each other's thoughts? That is what bothers me. If the thought occur at the same time then what makes us not here all the thoughts?