Area of two teeth hurts when i drink cold/slightly cold liquids. chewing doesn't hurt, pain comes slowly, continues if liquid is present. what is it?

Probably: Probably a cavity, an infection of one or more teeth. Can also be fracture, gum recession with root exposure, or other cause(s). Please see your Dentist who can examine the area, test the teeth for vitality, evaluate gum/bone health, xRay to look between teeth and under the gums, check your occlusion thermal test, and then advise the appropriate treatment.

IDK: I don't know and this cannot be determined over the internet, sight unseen and without the benefit of x-rays of the area. Merely giving you a list of possibilities is not helpful and may even be a disservice. See a dentist for a one on one evaluation and find out for sure. May range from simple hypersensitive tooth to severe dental problem.

Sensitivity to Cold: If pain lingering only moments, sensitivity generally does not signal a serious problem. It may be caused by a small decay, lost filling or sensitive root surface. You should see your dentist for a proper evaluation and treatment options.