Why do I have these headaches and sweaty head, but feeling cold?

im 16 and for the past week my heads been doing this thing where ill randomly feel like my head is super hit and sometimes sweaty but everytime my mom feels my head she said its cold and sweaty and it isnt hot inside our house and if anything school is freezing. i thought my ear peircing was the issue but its only a tiny infection and once i changed the jewlery my ear stopped bugging me and is doing fine but just today i immediately took a 2 hr nap (usually dont sleep till 10pm-3am) and woke feeling like i had a fever but mom said i was cold. my youngest sister had a classmate diagnosed with covid and i had vovid last year without symptoms could it still be? also sometimes my head hurts while i have a fever or i feel tired and slightly vant focus which is happening wile im typing so if im typing weird thats why. last year when i had covid it was during the 2 week required isolation but my school tried to truancy my mom and almost refused to excuse my absence even with the positive test so my mom had me stay home yesterday but go today im at a new school idk they policy hear. my teacher is very pregnant tho so i wore a mask today bc i dont want to get yer sick. we also dont have money for gas to drive to a testing site and cant afford tests, 2 of my sisters are also feeling sick but theyre bad at describing also unrelated but i a have a slight blading spot from i think tension on my hear but there's not a way to stype my hear where you cant see it bc its right in the front anything i can do? like i said i have the cold fever thing rn so if i repeated or something didn't make sense thats why