Is the petitioner constitutionally entitled to a hearing upon the issue of his competency to stand trial

QUESTION(S) PRESENTED : 1). Is the petitioner constitutionally entitled to a hearing upon the issue of his competency to stand trial. 2). Was the petitioner tried, convicted and sentenced while incompetent. 3). Did the prosecution's reading of a codefendant's plea agreement to the jury containing : incriminating and inculpatory statements imputed to the witness but not admitted by the witness deny the petitioner's constitutional right to confrontation. 4). Whethr the reading of a co defendant's facially incriminating plea agreement to the jury without a limiting instruction was constitutional error. 5). Whether appellate counsel's failure to raise a "Pate" claim on behalf of the petitonr, constitutes ineffective assistance of counsel. .