As above, moisture will condense when the salt was removed from the fridge, but if you sprinkled it and immediately put it back in the fridge it should be OK?
Re the rice in the salt shaker - I was told the rice grains act to break up any clumps of salt that have stuck together due to high humidity when you shake the shaker.
I love salt and always carry some in the boot.
We had a friend from the bush (Hebel) who always carried a bottle of tomato sauce in her handbag - she was basically addicted to it.