Red eye lids with very small white spots?

Many possibilities : A few possibilities include allergy, blepharitis, rosacea, and contact dermatitis. See an ophthalmologist to get a precise diagnosis and treatment.

Blepharitis: It sounds like you have posterior blepharitis that produce the red eyelid margins and whitish oil gland orifices (inspissation) results in irritation & soreness. Very warm compresses x 10' 2-4 times/day, eyelid massages with diluted baby shampoo, artificial tears, fish/flaxseed oil are the usual initial treatment . If more care is needed see eye md for more aggressive help.