Questions

Sure, I just checked and verified the answers your have presented in the image. Some are correct some are incorrect. 

Here is an example to help you with this grammar exercise.

The sentence is: "I don't believe/I'm not believing that you cooked this meal yourself."

The correct answer is I don't believe.

The present simple tense is used to talk about habits, facts, and general truths. The present continuous tense is used to talk about actions that are happening now or around now. In this case, the speaker is expressing their disbelief about something that has already happened (the cooking of the meal), so the present simple tense is the correct choice.

Here are some other examples of how the present simple and present continuous tenses are used:

• Present simple: I go to the gym three times a week. The sun rises in the east.
• Present continuous: I am eating dinner right now. She is watching a movie.

Here are the final answers : I hope this helps!

I don't believe (present simple) that you cooked this meal yourself.
Come on, let's order. The waiter is coming (present continuous).
Kate doesn't want (present simple) to have dinner now. She isn't hungry.
The head chef is ill, so he isn't working (present continuous) today.
The bill seems (present simple) very expensive to me.
We've had an argument and now we aren't speaking (present continuous) to each other.
My mum thinks (present simple) my diet is awful these days.
Do we need (present simple) to go shopping today?
Can I call you back? I'm having (present continuous) lunch right now.
I didn't use to like oily fish, but now I love (present simple) it!
Your cake is wonderful! It tastes (present simple) like one my mother used to make.
Complete with the present simple or present continuous forms of the verbs in brackets.

PART 2 ANSWERS

We don't go (present simple) to Chinese restaurants very often. (not go)
I have (present simple) high cholesterol so I never eat (present simple) fried food. (have, eat)
Are you taking (present continuous) any vitamins at the moment? (take)
Don't eat the spinach if you don't  like (present simple) it. (not like)

Does your boyfriend know how to cook fish ? 

We order (present simple) takeaway pizzas once a week. (order)
What is your mother making (present continuous)? It smells (present simple) delicious! (make, smell)
You look sad. What are you thinking (present continuous) about? (think)
Do we need (present simple) to go shopping today? (think)
I think the diet in my country is getting (present continuous) worse. (think, get)
How often do you have (present simple) seafood? (have)
I don't usually cook (present simple) red meat. (not cook)