Не уверен в правильности, но должно быть так:
1) I don't have a mobile phone. I wish i didn't need one.
2) Helen isn't here. I wish i didn't need to see her.
3) It's cold. I wish i didn't hate cold weather.
4) I live in a big city. I wish i like it.
5) I can`t go to the party. I wish I didn't like to.