A burnt cable smells nasty and a strong whiff of it can be overwhelming, sure. There's not much I can do for you without physical access to the cord, unfortunately. And even then there's not much I could do, without you getting a physical check-up with blood work.
My advice is to as soon as possible make an appointment with your doctor and explain your symptoms and time-frame, bring the cord along and ask for advice. The doctor will probably want to do blood work first of all and maybe brain scans etc to rule out medical issues.
I saw you're quite young and I know going to a doctor can be both scary and expensive, but from the symptoms you have described I urge you to get professional advice and help.
Good luck friend, I hope you feel better soon!
You don't have a goatee yet?! Better fix that ASAP!