1) There are a lot of good museums in moscow, ... ?

Если бы это был вопрос, то был бы порядок Are there a lot of ... ?

Это утверждение, которое надо просто дописать.

There're a lot of good museums in Moscow where you can see a lot of interesting things and find out something new.

There are a lot of good museums in Moscow, such as Museum Of the history, Museum of modern art, memorial museum of cosmonautics