The modal version is used in only questions and negative statements, not affirmative statements, so your #1 is wrong. These mean the same thing: Need I pay my tuition? — No, you needn't pay it.
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Mister MicawberThe modal version is used in only questions and negative statements, not affirmative statements,Just an additional note. In the following, in which 'you need' appears to be affirmative, the main clause provises the negation.