First, since your response is binary, you should specify DIST=BINARY or BINOMIAL in the MODEL statement in GLIMMIX. However, there are many ways to analyze repeated measures/panel data like this. The random effects model is one way. Another is the Generalized Estimating Equations (GEE) model, available in PROC GEE or PROC GENMOD. There is also the conditional logistic model available in PROC LOGISTIC with the STRATA statement. See this note regarding types of logistic models.
... View more