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We present the complete 2-loop renormalisation group equations of thesuperpotential parameters for the supersymmetric standard model including thefull set of R-parity violating couplings. We use these equations to do a studyof (a) gauge coupling unification, (b) bottom-tau unification, (c) thefixed-point structure of the top quark Yukawa coupling, and (d) two-loop boundsfrom perturbative unification. For large values of the R-parity violatingcoupling, the value of \alpha_S(M_Z) predicted from unification can be reducedby 5% with respect to the R-parity conserving case, bringing it to within2\sigma of the observed value. Bottom-tau Yukawa unification becomespotentially valid for any value of \tan\beta\sim 2-50. The prediction of thetop Yukawa coupling from the low \tan\beta, infra-red quasi fixed point can belowered by up to 10%, raising \tan\beta up to a maximum of 5 and relaxingexperimental constraints upon the quasi-fixed point scenario. For heavy scalarfermion masses of order 1 Tev the limits on the higher family \Delta L\not=0operators from perturbative unification are competitive with the indirectlaboratory bounds. We calculate the dependence of these bounds upon \tan \beta.Comment: 30 Pages, LaTex, 6 Figure

2-loop supersymmetric renormalization group equations includingR-parity violation and aspects of unification