It is difficult to determine the cause of your blood underneath your old cellulitis scar without a complete history and proper physical exam. Therefore a visit to your primary care doctor is warranted.
Regarding your clogged nasolacrimal duct, an ophthalmologist is the specialist who can best diagnose your condition and properly tailor a treatment regimen. If the duct is infected, antibiotics may be prescribed. Conservative treatment methods for noninfected obstructions include warm compresses and gentle massage. If the patient fails that, then surgical methods by an opthalmologist or otolaryngologist may need to be employed to unclog the nasolacrimal duct.
