Does the admission of improper and prejudicial evidence violate a capital defendant's right to due process?

QUESTIONS PRESENTED 1. Does the admission of improper and prejudicial evidence violate a capital defendant’s right to due process where the record indicates that the jury relied upon that evidence in rendering its guilty verdict and in recommending a sentence of death? 2. When a reviewing court independently reweighs the aggravating circumstances against the mitigating factors and substitutes its judgment for that of the jury’s, does that reweighing violate a capital defendant’s Sixth Amendment Constitutional right as defined by this Court in Hurst v. Florida, __ U.S. ___, 136 S.Ct. 616, 624 (2016)? i