Exercício: So am I; So did I; So have I

Hi Guys,
Eu queria saber se responde as questões corretamente.Ou seja se coloquei So am I; So did nos lugares corretos.
1-I'm going to catch the last bus.
So am I.
2- They got married in 1998.
So did I. But I got divorced a year later.
3- He's going to study in England.
So am I. Which city is he going to ?
4- I have to go to work tomorrow.
So have I . I hate working on Saturdays.

Thanks in advance.