I don't think it's necessary to draw all your tools every time you start a new sketchbook/journal. But for the class I am teaching I am suggesting that the class at least draw their palette of colors and jot down what they are using in the front of the sketchbook. All that could change along the way.
And the tools I picture are pretty much just the bare basics I use when packing a bag to go out and about. When I am sketching at home I might use a larger palette or use brushes and water. Just depends. There are also a few other pens I often take with me on location as well. But it's good to start with JUST the basics. Keep things simple.