What is Philosophy?
I have nothing against what you said. And you are correct, there are mysteries in science too. But I do think that many of the classical philosophical questions are so hard, we don't even know how to go about even giving a good answer. Free will, for instance, or how can matter think? We know it can, but have zero clue as to how it does this.
Yes, it is true that religion and philosophy can be ridiculed and that some of that ridicule is at times, relevant. I love navel gazing, so I'm restricted to phenomenology and better descriptions, it does it for me. But it won't fulfill others.
As for questions that get answered, that's correct. I suppose it depends on what you mean by "philosophy" and what kind of questions you have in mind. If you mean, say, political philosophy, then yes, I think you are correct.
I too value empiricism and empirical evidence. Incidentally, as a side note, Locke and Hume were MUCH more sophisticated than many so called "empiricists" today, but, there are things we know with little evidence or were we only have intuition or best guesses.