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In considering whether Deneen's argument on liberalism is convincing, the author points out Deneen's narrow definition of liberalism is limited to individual freedoms: ' He argues that the essence of liberalism lies in freeing individuals from constraints. In fact, liberalism contains a wide range of intellectual traditions which provide different answers to the question of how to trade off the relative claims of rights and responsibilities, individual expression and social ties..'
The author also says Deneen fails to recognise liberalism's ability to reform itself: 'Mr Deneen's fixation on the essence of liberalism leads to the second big problem of his book: his failure to recognise liberalism's ability to reform itself and address its internal problems.'
Finally, in the last two lines of the passage, the author states Deneen is wrong in his extreme pessimism about the future of liberalism.
Options B, C and D are true.
The author does not say that Deneen harks back to premodern notions of liberty. 
So, option A is the correct answer choice.