I am concerned with eye bags and broken capillaries in and around the bags. How can I improve these problems? (Photo)

Hi and thank you for your question! While an in-person consultation is required to be able to tell for sure, you seem to be a good candidate for treatment bags under eyes with filler treatment. While it might sound counterintuitive (to treat puffiness with adding more volume!) in most of the cases what happens is we experience volume loss in areas under the eyes which makes the puffiness more prominent and once we restore the volume loss in under the eyes (and commonly in surrounding areas in cheeks) the issue greatly improves. Regarding broken capillaries, you might want to look into laser or IPL treatments. I hope it helps and good luck! 

Dear zuzu72,
During aging, our under-eye fat pad will loose certain amount of volume and weakening of the retaining ligament that holds the skin and fat pads. To correct this manner, we can plump up the area with dermal filler for the volume loss, and tighten the retaining ligament with microfocused ultrasound treatment, Ultherapy, or Thermage. Discoloration of the skin surrounding the eye can be genetic or acquired (sinusitis, allergy, dryness). This can be improved by non ablative laser ( Q-Switched Nd Yag, Picosecond laser) and ablative laser ( Tixel, Fractional Co2) and also application of eye cream with minimal content of retinoid. Lastly, eye bags can also due to underlying medical condition such as thyroid disease. So seek advice from your nearest doctor to find out what causes your eye bags issues and the suitable treatment.
Take care!