Dentist prescribed antibiotic/pain med for tooth abscess yesterday, today I am still in pain/face is swollen/gum and lip are now numb is this normal?

Tooth abscess. Antibiotics and pain medication are only part of the management of an abscessed tooth and helps temporize things until you get definitive treatment, which is extraction of the tooth. Please make an appointment to see a dentist/oral surgeon sooner than later.
Yes and no. Antibiotics take time to work. Getting treatment( root canal or extraction) started asap is recommended!
No. Numbness is related to severe internal pressure on specific nerves. Have your dentist refer you to an oral surgeon to manage the infection. Not sure about the prognosis of the tooth.