It seems that due to extravasation of blood from vein giving rise to local hematoma
There is a possibility of having thrombophlebitis
Apply ice pack on the part.
Having swelling in the eye might be due to some induration following surgery.
I think oral antibiotic might have given so this antibiotic will work for swelling on hand and eye.
If not given, antibiotic may require.
Consult your doctor earlier and get examined.
Ok and take care.