Hello, Studyhard, and welcome to the English Forums!
I know opinions vary in this field. One might argue about the need of a comma before "and". The quotation marks are OK.
As to the rest, there could (just could) be a colon after include. I personally capitalize the first letter of a quotation only when the quotation immediately follows a full stop, but then I may be wrong...
P.S. Why not simply: Our favorite quotes include ...