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We reconsider here the following related pcf questions and make someadvances:  (Q1) concerning the ideal {check I}_kappa [lambda] how much reflection do wehave for the bad set S^{bd}_{lambda, kappa} subseteq {delta < lambda :cf(delta)= kappa} assuming it is well defined?  (Q2) for an ideal J on kappa how large are S^{bd}_J[f],S^{ch}_J[f] for f=<f_alpha : alpha<lambda > which is <_J-increasing and cofinal in (prodlimits_{i< kappa} lambda_i,<_J) ?  (Q3) are there somewhat free black boxes?

Non-reflection of the bad set for {check I}_theta[lambda] and pcf