Parallel MCMC (Multiple chains): Correct random number generator?

I would like to run one MCMC simulation (chain) on each worker. First, I create a random stream of numbers on each worker:

    parpool
    spmd
    s = RandStream.create(’mrg32k3a’,’NumStreams’,numlabs,’StreamIndices’,labindex); 
    RandStream.setGlobalStream(s);
    end

Then, I perform the simulations (I suppose the two tasks could be combined):

    spmd
    chain = MCMC_Simulation(input); %%%this function uses rand() and randn(); it is the DRAM algorithm 
    end

Am I correctly using RandStream to ensure statistically independent random numbers across workers? If I "restart" my simulations in a new Matlab session and need random numbers that are independent across the sessions and all other workers, how do I ensure this independence? Do I need to know ahead of time if I will restart?