There are two large vein that is close to my eye. Will my eye be blind if I remove these vein? (photos)

Bruising is a common finding after laser for under eye veins. I recommend bromolein and Arnica Montna or a product called Bruise Stick made by Kare Skin. 

Forehead veins that are prominent and large can be treated by microphlebectomy or sclerotherapy or combination treatment with sclerotherapy and microphlebectomy. Smaller veins can be treated with long pulse lasers. 

Sclerotherapy is a process and I usually recommend 6 weeks between treatments since this is about how long it takes to see the full results of treatment.  It is impossible to get every vein with one treatment and it is not uncommon to require several sessions of sclerotherapy to achieve...

All the veins that you describe are treatable.  Chest veins are treated by sclerotherapy, arms and hands can be treated by sclerotherapy, microphlebectomies or laser, and leg veins may require a venous evaluation with ultrasound prior to treatment.  See a vein specialist.

Thank you for the question. I understand your concerns. Fractional CO2 laser is not without its risks, but it is quite safe when the proper precautions are taken and the results are fantastic. It would tighten the skin, improve the under eyes, and treat your syringomas.

Sclerotherapy is a process and what you are seeing are normal findings 3 days after the treatment.  I usually wait 6 weeks between treatments to allow any bruising to resolve and for the solution to reach its maximum effect.