I watched it when serialised on TV, too. And just over the weekend I heard Kwame Kwei Amah (forgive any misspelling!) interviewed over the radio. He said he'd watched it aged about twelve and was very affected by the young lad Kunte Kinte being teased about 'really' being called Toby. Toby of course being his 'slave name', given to him by his 'owners'.
Kwame told his mother there and then that he'd change to an African name once he was older.
He didn't do it lightly, because he was aware that for a child to change almost the first thing given by a mother - a name - is a very emotional thing which might hurt his mother. Thus, the young Ian Roberts became Kwame Kwei Amah. He descrbed this most movingly.