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B is corrent. A mortgage is a security interest in real property usually used to secure a debt. The mortgage creates a nonpossessory lien on the property in favor of the mortgagee.
A is incorrect. A mortgage provides the mortgagee with a nonpossessory interest in real property.
C is incorrect. The mortgage does not have to be recorded to be enforceable between the mortgagor and mortgagee. The purpose of recording the mortgage is to give constructive notice to third parties that the property is subject to an existing mortgage.
D is incorrect. A mortgage only has to be signed by the party to be charged, the mortgagor.