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High altitude sea - characteristics

In an Earth-like world, with a single Moon similar to ours, there is a mountain that is 1.000 meters high. On top of that mountain there is a crater with ca. 100 Km diameter and 100 m of maximum depth. That crater was filled with rain water (it stands on a very rainy spot) during centuries and now it became a sea. Since the only water replenishment of this sea is from rain, it has become very salty. There is now a city built on the shores of said sea, almost at the sea level.

Now, for my storytelling, I would like to know three things:

1) Would this sea have waves and tides?

2) How could this sea drain its waters without flooding the nearby city?

3) Would there be nocturnal fogs generated by this sea?