I have a new girlfriend but her ex sends her gifts and writes one liner 'miss you' posts on fb.What to do?

[Sol]

o man what a douche. spread some nasty rumours about him , you could ask your gf to stop talking to him but you dont wanna seem to possessive

hmm yea spreading rumours is bad advice. to be honest, she is your gf, she wouldnt be with you if she didnt like you immensly. I think she may be testing you, to see how jealous you get. Either you show a lot of jealousy, on a one off basis, and make it clear you will not mention it again explaining you had to let her know how you felt. at that point hopefully she would stop her game and make you more secure.
alternatively you could show supreme confidence in your gf, and not act as if you think she would actually drop you for him. once she sees that confidence in you, you and her will see this ex boyfriends messages as nothing more than slightly pathetic.