Did I read sometime ago that they approved a new floating pier? If yes, when is construction supposed to start on that?

Nope. I went to the Ayuntamiento with the owner of the Picante and he made a terrific presentation of floating wave attenuators that could be built to order in place of a fixed pier at a huge cost savings and that would be more resistant to storms and earthquakes and require less maintenance. As far as I know no decision was ever made to use this technique.

Is the Pier being rebuilt?

Not yet, but work is being done to recondition part of it for the holidays in order to use the reconditioned part. I think it's a bad idea, but politics comes before safety, you know.