A never before disclosed discovered relativistic Photon-Atom-Energy paradox led to a solution, according to which the Planck Constant is to be treated relativistic by h' = h γ2, whereby a new relativistic effect and a fourth relativistic attribute was discovered. Nevertheless it stays invariant in Lorentz transformations. The same result was derived in another way and motivation while the main was a discovering an energy problem in relativistic dynamics when a relativistically heavier atom is emitting due to time dilation a red shifted low energy photon. A second problem was discovered by analysing Planck mass, length and time relativistically. This does lead to a discovery of 4 more paradoxes of actual version of Special Relativity, which were solved by same relativistic Planck Constant. While the 4 of 5 paradoxes are solved so within the Special Relativity, the Planck length paradox cannot be repaired in SRT and therefore we cite our another work about a new interpretation of length contraction in Lorentz transformations, using stretched length units as it was done with time units to measure contracted distances with them. At the end all now 4 relativistic attributes length, time, mass and Planck constant are asymmetrically between the Inertial Frames then it was the time dilation in Special Relativity alone. All dispute is very vividly and easy for understanding without high mathematics. If we decline the square relativistic Planck constant h then all 4 discovered paradoxes would stay irreparable in Special Relativity.