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D is corrent. Under the Statute of Frauds, certain contracts must be contained in a signed writing to be enforceable. Among these is a contract that cannot be performed within 1 year. In a personal service contract, the 1-year period begins running at the time that the contract is formed, not at the time the service is to commence. A contract creating an agency relationship for the forthcoming year which is entered into in mid-December of the prior year could not possibly be performed within 1 year and, therefore, must be contained in a signed writing in order to be in compliance with the Statute of Frauds.
A is incorrect. An irrevocable agency need not be contained in a signed writing.
B is incorrect. This situation describes an agency relationship which is capable of being performed in 1 year or less. 
C is incorrect. An agreement creating an agency relationship authorizing the agent to sell goods that have a value in excess of $500 need not be in writing, although any such contracts entered into by that agent must be in writing in order to be enforceable under the Statute of Frauds.