Do you understand the TSA 311 Rule? And camping stuff?

I'm having trouble fully understanding the rule. I'm 15 and like bad with math so could you explain and maybe suggest what I can bring for the 3 week camping trip? Like can I bring Pantene for Colored women (shampoo and conditioner) and a tube of toothpaste?
Thanks!
Also how much would everything be if I have a hiking pack and a suitcase. Can I put some of my gear in the hiking pack? And can I take the sleeping bag with me as a carry on?
Also, can I bring my medicine cream for eczema?
 
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