Is a state appellate court's unexplained refusal to allow a petitioner to file for state provided avenue of writ of habeas corpus releif on an unlitigated, meritorious, non-waivable claim an unconstitutional denial of Due Process under the 14th Amendment.

Is a sentence imposed under a statute declared unconstitutional for being violative of the 8th and 14th Amendments an illegal sentence imposed without authority an unconstitutional denial of Due Process under the 14th Amendment.

Is a state appellate court's unexplained refusal to allow a petitioner to file for state provided avenue of writ of habeas corpus relief on an unlitigated, meritorious, non-waivable claim an unconstitutional denial of Due Process under the 14th Amendment?