№1.

1. Let's dance with Tom.

2. Let's go to the shop with Alice.

3. Let's not fly to St Petersburg.

4. Let's not cook dinner today.

5. Let's go to the shops together.

№2.

1. began to learn/began learning

2. hated to eat/hated eating

3. loves to dance and sing/loves dancing and singing

4. finished to write/finished writing

№4.

1. at

2. for

3. on

4. on

5. of

6. at