Make up the negative and interrogative forms of the sentences. (Складіть та запишіть заперечні та питальні форми речень.)
1) I went to the shop yesterday.
2) He will play computer games tomorrow. 3) I had played tennis by 3 o'clock.

Professor Higgins, who 1).. was awarded... (award) a major science prize last month, 2) was invited (invite) to take part in a conference which 3) was held (hold) in London last week. He 4) was met (meet) at the airport by a driver who, unfortunately, 5) had been given (give) the name of the wrong hotel to take the professor to. A large reception 6) had been organized (organise) for the professor, and at least 200 eminent scientists 7)had been invited (invite) to meet him that evening. The poor professor, however 8) was left (leave) at a small hotel in a rather bad area, and when he asked to speak to the Head of the Conference Committee he 9) was told (tell) to try somewhere else because he 10) had not been heard of (not/hear of) there.
Luckily, later that evening, the driver 11) was sent (send) to the hotel where the reception 12) was being held (hold), and when he 13) was asked (ask) what he had done with the professor, everyone realised that a mistake 14) had been made. (make) 
The professor says that if he 15) is ever sent (ever/send) another invitation to a conference, he hopes it 16) will be organized (organise) more efficiently.
Всё отлично.

1. We don't have a car but we are going to buy one.

2. When I called Lucy, she was on the bus.  [В английском языке "ON the bus" не подразумевает того, что объект находиться на крыше автобуса. Вот такой парадокс]

3. I'll meet you at the cinema. ['Я встречу тебя у кинотеатра'. 'In the cinema' звучит для меня, как будто встреча произойдёт в самом кинозале, что маловероятно.]

4. There is a spider on the bathtub.  ['On the bathtub' звучит неестественно]

5. Why did you go to the opticians?

1) to has my eyes tested [Нет]

2) to have my eyes tested

3) to make a test of my eyes [Нет]

6. They covered the goods with canvas lest they be damaged by rain.

[Be damaged - это сослагательное наклонение (subjunctive). Найдите в интернете подробнее, если хотите, ибо ссылки здесь запрещены, а своими словами это немного сложно объяснить]

7. His (-) father in laws book was published abroad.

"После my/his/her и таких местоимений разве стоит артикль?". Нет, нет и ещё раз нет.