On the basis of your sign and symptom you have some anxiety problem and some tremor in the vocal card during singing .
Now according to treatment point of view
Inderal 10 mg have propranolol salt that's beta blocker which is give in anxiety , arrhythmia , increase heart rate, and tremor etc.
Zepiz-have Clonazepam salt -it's type of tranquillizer of benzodizipine act as anticonvulsant drug - to treat restless and anxiety and abnormal muscle movement and seizure etc.
Take these medicines for short periods .
Don't take for long term treatment.
Next Steps
Do exercise regularly with yoga and meditation.