Right or left on the fletching doesn't make much difference. Most right hand archers use left fletch, but it's not required. Sometimes a right fletch can hit the index finger of your bow hand on release. I don't know because I use left wing feathers with a left helical. If possible you should match the broadhead bevel to the fletching. According to Dr. Ashby, this aids in the bone breaking twist of single bevel broadheads. If you don't hit bone, it doesn't matter much.
As far as the quiver, you would want it on your right hip. Since you will have your bow in your left hand, drawing an arrow from the quiver is accomplished with the right hand. Reaching across your body would be awkward at best, so have it on your right hip.
Hope this helps. Don't be afraid to ask questions here. Unlike some forums, you will get help rather than flamed here.