I had 3 teeth extracted 7 days ago. I am still in a lot of pain in my ear jaw and neck but my throat feels like its closing up is this normal?

I would say not- have your called your dentist and advised them of your pain?

If your throat is closing up go to Emergency!

It does sound as though it may have become infected, If you have swelling that extends past the local area of the teeth that were removed I would advise going to emergency. In best case scenario, an antibiotic prescription may be all that is needed.