Have pain in right hand with vein swelling. no injury. swelling goes down if i raise hand above head only?

Phlebitis: What you are describing sounds like superficial phlebitis- which is inflammation( swelling) of a vein which is close to the skin surface. We treat these with warm compresses and elevation of that extremity. The swelling can take anywhere from a few days up to a week or so to resolve. Always talk to your doctor if it does not improve with these simple measure as other causes will need to be sort.