Stick to the text, quote from the book, and prepare your own critical response.

Carrolls Through the Looking-GlassPreview the document (1871), to the end
Angela HartPreview the document, Alice in Wonderland and Alice Through the Looking-Glass by Lewis Carroll: Do Works Have Meaning? Lacanian Theory on Carrolls Writing, International Journal of Arts & Sciences 8.3 (2015): 425-40.

How does Lewis Carroll draw on fairy tale elements in Alice, and also how does he deviate from them? Are each of the characters meant to represent something and/or is Alice meant to learn a lesson from each before passing on to the next? These are just starter questions, in case youre stuck.