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The alloy Ca$_{2-x}$Sr$_x$RuO$_4$ exhibits a complex phase diagram withpeculiar magnetic metallic phases. In this paper some aspects of this alloy arediscussed based on a mean field theory for an effective Kugel-Khomskii model oflocalized orbital and spin degrees of freedom. This model results from anorbital selective Mott transition which in the three-band system localized twoorbitals while leaving the third one itinerant. Special attention is given tothe region around a structure quantum phase transition at $ x \approx 0.5 $where the crystal lattice changes from tetragonal to orthorhombic symmetrywhile leaving the system metallic. This transition yields, a change fromferromagnetic to antiferromagnetic spin correlations. The complete mean fieldphase diagram for this transition is given including orbital and spin order.The anisotropy of spin susceptibility, a consequence of spin-orbit coupling andorbital correlation, is a tell-tale sign of one of these phases. In thepredominantly antiferromagnetic phase we describe a metamagnetic transition ina magnetic field and show that coupling of the itinerant band to the localizeddegrees of freedom yields an anomalous longitudinal magnetoresistancetransition. Both phenomena are connected with the evolution of theferromagnetic and antiferromagnetic domains in the external magnetic field andagree qualitatively with the experimental findings.Comment: 12 pages, accepted for publication in EPJ

Orbital and spin correlations in Ca $\mathsf{_{2-x}}$Sr$\mathsf{_x}$RuO$\mathsf{_4}$: A mean field study