The temperature dependence of electronic and magnetic properties of the organic charge-transfer salt (DOEO)$_4$[HgBr$_4$]TCE was investigated using magnetometry. Electronic transport properties revealed three distinct phases which are related to different magnetic coupling phenomena. In the low-temperature insulating phase (T<70 K) the antiferromagnetic coupling between two distinct sites of magnetic moments causes antiferromagnetic order below the Neel temperature T$_N$=40 K. In the temperature region 70-120 K the (DOEO)$_4$[HgBr$_4$]TCE shows metallic-like behavior and with further increasing of temperature it becomes a bad metal due to loss of itinerant character and increase of hopping conductivity of charge carriers.