Which sentence uses correct punctuation?

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A contraction is used here: they’re stands for they are, so it needs the apostrophe to show the missing letters. That apostrophe is part of the word, and the rest of the sentence is correctly formatted with a period at the end. The other forms mix up words—their is possessive, not a subject, and there/there is a different meaning entirely. Theyre lacks the necessary apostrophe, making it simply misspelled. So the sentence with they’re going to the park uses the correct form and punctuation.