The answer to this is A. I think that the sentence should read, “I have had my mobile phone since 2009.” This means that the narrator is saying that the mobile phone has been used and has been owned since 2009. The other verbs that are used for the choices will change the meaning of the sentence or are just flat out wrong for what the narrator is trying to say.
I believe that the narrator’s sentence is in the present perfect tense. This may be the intention of the person who is stating the sentence. “Have had” usually follows I, we, and you.