${\mathrm{CoCl}}_{2}{\ensuremath{-}\mathrm{F}\mathrm{e}\mathrm{C}\mathrm{l}}_{3}$ graphite bi-intercalation compound (GBIC) has a c-axis stacking sequence of ${\ensuremath{-}G\ensuremath{-}I}_{1}{\ensuremath{-}G\ensuremath{-}I}_{2}{\ensuremath{-}G\ensuremath{-}I}_{1}{\ensuremath{-}G\ensuremath{-}I}_{2}\ensuremath{-}G\ensuremath{-}$ $(G=\mathrm{graphite}\mathrm{}\mathrm{layer},$ ${I}_{1}={\mathrm{CoCl}}_{2}\mathrm{}\mathrm{layer},$ and ${I}_{2}={\mathrm{FeCl}}_{3}\mathrm{}\mathrm{layer}).$ This compound undergoes four magnetic phase transitions at ${T}_{h}(=16.4\mathrm{K}),$ ${T}_{\mathrm{cu}}(=8.5--8.7\mathrm{K}),$ ${T}_{\mathrm{cl}}(=7.3--7.4\mathrm{K}),$ and ${T}_{\mathrm{SG}}(=4.7--5.9\mathrm{K}).$ The static and dynamic aspects of spin orderings in this compound have been studied employing the temperature, frequency, and field dependence of dispersion ${\ensuremath{\chi}}_{\mathrm{aa}}^{\ensuremath{'}}$ and ${\ensuremath{\chi}}_{\mathrm{cc}}^{\ensuremath{'}},$ and the absorption ${\ensuremath{\chi}}_{\mathrm{aa}}^{\ensuremath{''}}$ and ${\ensuremath{\chi}}_{\mathrm{cc}}^{\ensuremath{''}}.$ A possible helical spin order occurring below ${T}_{h}$ is due to the spin frustration effect arising from competing interplanar exchange interactions. Below ${T}_{\mathrm{cu}}$ two-dimensional (2D) ferromagnetic long-range order appears in each ${\mathrm{CoCl}}_{2}$ layer. Below ${T}_{\mathrm{cl}}$ these 2D ferromagnetic ${\mathrm{CoCl}}_{2}$ layers are antiferromagnetically stacked along the c axis, forming a three-dimensional (3D) antiferromagnetic phase. The spin-glass phase occurring in each ${\mathrm{FeCl}}_{3}$ layer below ${T}_{\mathrm{SG}}$ is due to the spin frustration effect arising from competing intraplanar exchange interactions between majority XY ${\mathrm{Fe}}^{3+}$ spins and minority Ising ${\mathrm{Fe}}^{2+}$ spins. The phase transitions near ${T}_{\mathrm{cu}},$ ${T}_{\mathrm{cl}},$ and ${T}_{\mathrm{SG}}$ are partially destroyed by random fields generated in ${\mathrm{FeCl}}_{3}$ layers and ${\mathrm{CoCl}}_{2}$ layers, respectively, through competing interplanar exchange interactions.