Possession in written English is signalled by a small mark placed before or after the letter s attached to a noun, for example Lawrence's novel or the writers' themes. That mark is the apostrophe, and it is the only punctuation mark on this list built for that job.
None of the other three options serve this purpose. A hyphen is used to link compound words or split a word across a line, not to show ownership. A semicolon is a tool for joining two related sentences into one, unrelated to possession. A period does nothing more than close off a sentence.
Because possession specifically calls for the apostrophe, option 2 is the right answer.