Chapters 1 and 2
Chapters 3 and 4
Chapters 6 and 7
Chapters 11 and 12, and Epilogue
How to Cite This SparkNote
I think it's important to realize that when the time traveller leaves in the end, he has with him a bag and a camera, so the reader can infer that he will return with proof.
Simple Mathematics says... HG Wells was born in 1866. So, he could NOT be 34 years old when he published "The Time Machine" as a novella in 1895. At best, he could be 29. Otherwise, good stuff!