For the past week, my upper lip has been twitching (between nose & lip left side). Is this normal? When should I be worried? I experiencing spasms often with eye, body, etc..

Stress? Twitching can be the result of stresses or a neurologic (tic) condition. It may decrease by frequently holding the area until twitching stops. There are also medical and psychological treatments that can help.
Needs assessment. Although twitching and spasm could be related to stress or excessive caffeine there could be other reasons for your total body symptoms.