I do not have any specific recommendations on statistical mechanics, hoping others could chime in. I agree with your assesment that Sakurai and Landau, although phenomenal books, may be a little too much for a first encounter.
Assuming you know basic linear algebra, you should just start with one of those two books. I do not think you would need additional video lectures. I would start with McIntyre.
Master Math: AP Statistics
Ultimate AP Statistics Practice Book: 100 Essential Problems Completely Explained on YouTube - perhaps a little cookbook style but really nice
The Practice of Statistics
Are you looking for a book for differential equations? I like this Dover book. In addition, this is a good book for a begineer. Another good book is this. Fro problems, this is a good book.