Бога спасайте! Fill in the gaps with the shall/will or the

Хозяева спасайте!
Fill in the gaps with the shall/will or the correct form of be going to
1 A: It's too hot in here.
B: You're right. I open a window.
2 A: I put the baby to bed, now?
B: Yes, he looks a little tired.
3 A: Have you seen Lucy recently?
B: No, but I .. meet her for lunch later today.
4 A: Have you done the shopping yet?
B: No, but I. probably do it tomorrow, after work.
5 A: . we ask Mr Perkins for help with the project?
B: That's a good idea. Let's ask him now.