WordPress has a built in gallery feature (see this) and there are plenty of free gallery plugins that add additional functions. I have used a number of them that work well, but it’s difficult to recommend one as your server may be set up different than mine.
The same is true of calendar plugins.
AFAIK, there isn’t a single plugin that handles all of these things, nor would it be advisable to build one, as these are all really different functions.
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