Taping the nose will not lift the tip permanently. A rhinoplasty with sculpting of the nasal cartilages is required to lift the tip on a permanent basis. For many examples, please see the video below
Yes, if you have redness along the area of the silastic dorsal implant, it should be removed after you have been on a several week course of antibiotics. The supra-tip area is the most prone to this when an L-shaped implant is used (these should not be used for this reason in my...