Usage of the Oxford Comma with "and"

Solution 1:

That sentence is grammatically correct. This is because if necessary is a subordinate clause, not just another item in your comma-separated list.

Keep in mind, if you were to remove that subordinate clause from the sentence, you would not use a comma after the and:

To claim a prize, send a Private Message to me stating: which prize you won, your geographical location, and your address for sending a physical prize.