Language and culture
【Conversation 1】
Southwark is a historic area of London on the south side of the River Thames, opposite the City of London (the small central area famous for financial institutions).

The London Docks were part of Britain's busiest port in the 19th century. The Docks were used to import goods, but because of the increasing sizes of ships and the decline of local industries and manufacturers, the Docks were closed in 1969. In the 1980s and 1990s, the whole area was "regenerated”: many new homes were built and new businesses were started.

The Blitz, the name of the Second World War bombing of London and other British cities, comes from the German Blitzkrieg, which means "lightning war" in German.

【Conversation 2】
Amazing means “very surprising or impressive". Similar expressions of interest which are often used in conversational replies are fascinating (something that makes you very interested or attracted) and I'm impressed (admiring someone or something very much).
Let me see.../Let me think...are expressions which people use to show they want to say something while they are thinking of exactly what to say.
Many parents give their children a lift to school by car. This is known as the school run. Although it can cause traffic jams, parents are much more protective, and are reluctant to let children walk to school on their own without an adult. For health reasons, however, schools would prefer more children to walk.
College of further education is a college where students aged 16 or older attend a wide range of full-time or part-time courses to study for A levels or vocational and professional courses.
A levels are exams in Britain at "Advanced” level taken by students aged 18 or older. A levels are beyond GCSE (General Certificate of Secondary Education), taken at 16 or older. A levels, compared to similar levels of exams in Europe, are more specialized and students generally choose to study only three or four main subjects for two years to prepare for the exam. (An exam taken after the first year is AS level or Advanced Subsidiary, while the full A level is sometimes called A2). A level exams are graded and each university specifies the grades that a student needs to achieve to get a lace there.
Hang on is an expression used to ask someone to wait or to be patient, like wait a minute.