The preface can be summarized into a few key arguments, without going into too much depth. The first is that most suitable subject matter for poetry is the everyday experiences of everyday people. Secondly, he argued that poetry should be written in a language used by real men, distancing himself from the use of rhyme and the other complex trapping of early Augustine poetry. Instead, Wordsworth extols the virtues of rhythm in language and argues that simple, plain language is better for expressing the natural order of things. Thirdly, he says that the basic everyday experiences have to be written about in a way that makes them revealing of human nature.
There's also a good deal written in the preface about the role of the poet, mainly that poets are special visionary prophets almost. You can read that if you want, but I think it's not too relevant to the Lyrical Ballads. It would be more relevant if we want to discuss the very long autobiographical Prelude.
Working with the second edition of the Lyrical Ballads from 1800, the best known poems from the work are often called collectively the Lucy poems, "Tintern Abbey" is of great importance too, so I think those will be the poems we'll begin with. If anyone else has suggestions please feel free to give them.
The first of the Lucy poems in the collection:
I think pertinent questions we could ask is if Wordsworth is achieving what he sets out to do according to the Preface
. Ignore the fact that Wordsworth complains about the use of rhyme, then chooses to write a ballad, a rhyming form.