If your Fermi level is not at zero, simply subtract EFERMI (from OUTCAR) from your DOS energies when plotting, or use VASPKIT to shift it to EF=0 eV. As for those large spikes you see far below the Fermi level are just "core-like" states and can be safely ignored (they play no role in the electronic properties near the band gap - region of interest in most cases). Spike-like features near the valence/conduction edges, however, could mean too coarse k-mesh and/or too small smearing/too low NEDOS in the DOS step.