  Motivated by the recent experimental realization of ABCB stacked tetralayer
graphene [Wirth et al., ACS Nano 16, 16617 (2022)], we study correlated
phenomena in moir\'e-less graphene tetralayers for realistic interaction
profiles using an orbital resolved random phase approximation approach. We
demonstrate that magnetic fluctuations originating from local interactions are
crucial close to the van Hove singularities on the electron- and hole-doped
side promoting layer selective ferrimagnetic states. Spin fluctuations around
these magnetic states enhance unconventional spin-triplet, valley-singlet
superconductivity with $f$-wave symmetry due to intervalley scattering. Charge
fluctuations arising from long range Coulomb interactions promote doubly
degenerate p-wave superconductivity close to the van Hove singularities. At the
conduction band edge of ABCB graphene, we find that both spin and charge
fluctuations drive $f$-wave superconductivity. Our analysis suggests a strong
competition between superconducting states emerging from long- and short-ranged
Coulomb interactions and thus stresses the importance of microscopically
derived interaction profiles to make reliable predictions for the origin of
superconductivity in graphene based heterostructures.
