Can my school legally search me without my consent?

So, I go to a public high school in California, and I'm 18. I was legally emancipated before I was even 18, and I live on my own. I smoke cigarettes and carry them and a lighter on me, in my purse. I also have a bottle of menstrual pain relief medication, which also has Adderall in it(my boyfriend takes it, and I keep a few doses handy in case he forgets to take it at home(which he does a lot)) too. It's against school rules to keep medications of any sort on you, from Neosporin to Ibuprofen to wart freeze off canisters. You're supposed to keep it in the nurses office and get doses from her. If, for some reason, they called me in to the office and wanted to search my person or my belongings, do I still have the right to say no? Would I get in trouble for any of the above items I carry, even though it's legal to buy cigarettes, lighters, and menstrual relief pills? I would understand getting in trouble for the very illegal prescription Adderall, but to be fair, it's honestly not mine.