My throat has felt very swollen and very tight however is is not sore. it has been like this consistently for a week. could it be strep?

Possibly: Strep is a bacterial infection often associated with tonsillitis. There is generally a sore throat red papules on the tongue and white plaques on the tonsil or back of throat normally a fever is present. A simple visit to a clinic would reveal if its strep with a swab. Strep needs antibiotics. This may be a simple post nasal drip in early allergy season but if you start to feel ill get tested.