Is the admission of irrelevant or overtly prejudicial evidence a due process violation?

QUESTION(S) PRESENTED . 1) | IS THE ADMISSION OF IRRELEVANT OR OVERTLY PREJUDICIAL | EVIDENCE A DUE PROCESS VIOLATION? , (AND IS SUCH A VIOLATION SUFFICIENT TO ISSUE A WRIT OF HABEAS’ CORPUS?) 2) IS°A MIXTURE OF UNCROSS-EXAMINED TRSTIMONIAL STATEMENTS OFFERED FOR TRUTH AND NON-TESTIMONIAL HRARSAY PROHIBITED BY THE CONFRONTATION CLAUSE? , . (AND IS SUCH A’ VIOLATION SUFFICIENT TO ISSUR A WRIT OF HABEAS CORPUS?) . 3) pors A CONVICTION FOR A CRIME THE DEFENDANT WAS NOT CHARGED WITH NOR ARRAINED FOR CONSTITUTE A DUF PROCESS VIOLATION? ; : (AND IS SUCH A VIOLATION SUFFICIENT TO ISSUE A WRIT OF , HABEAS CORPUS?) .