The present report summarizes the basic aspects of an investigation at 2-mm waveband EPR of paramagnetic centers with different magnetic, relaxation and dynamics parameters in various solid-state organic compounds of lowed dimensionality, polymer semiconductors and fullerene complex among them. At high magnetic field the interaction between spin-packets decreases, so then they can be saturated even at high temperatures. It gives a possibility to determine separately spin-lattice and spinspin relaxation times for polarons with different mobility from the analysis of the in-phase and out- ofphase components of their dispersion signal. Using then an appropriate spectral density function one can calculate the rates of spin diffusion and therefore the conductivity along and between polymer chains. Besides, analyzing the shape of out-of-phase dispersion component by means of the saturation transfer method one can determine superslow anisotropic macromolecular dynamics in this polymer system. The study of polytetrathiafulvalenes at 2-mm waveband EPR have shown that at the polymer doping both the spin relaxation and dynamics mechanisms are changed. The polaron hopping in the undoped polymer can be described in frames of the Kivelson's isoenergetic theory whereas the spin and charge dynamics in doped semiconductor demonstrate both the Mott's and activation behaviors. At high temperatures the activation energies of an anisotropic libration of polymer chains and interchain spin diffusion was shown to be near one to another. This means that at the polymer doping the interaction between spin ensemble and lattice increases, so then anisotropic macromolecular and spin/charge processes become interacting and are manifested at some critical temperature. Therefore, high-frequency EPR technique accompanied by the methods of steady-state spin- packets saturation and saturation transfer looks as the powerful tool for an investigation of relaxation, spin and charge transfer processes in different low-dimensional organic systems. The results of the study at 2-mm waveband EPR of another disordered organic semiconductors are discussed as well.