Hi ,
Your voice box has to be analysed with a stroboscopy and also rule out acidity, because sometimes these acids can irritate the vocal cords and causes such symptoms.
If other infections like laryngitis taking a course of steroids will be helpful along with treating your cold but its better after visiting ENT clinic and after stroboscopy .
Next Steps
Stroboscopy , treat for acidity if present with pantoprazole , anti histamines and syp which contains raft like gaviraft/ iceraft after food before your sleep .
And if diagnosed as laryngitis with infection one course of steroids.
Health Tips
Dont strain your voice , adequate water intake