Hamlet and Bible comparison.

Did Shakespeare really intended to use liturgical allusions, both Protestant and Catholic when wrote Hamlet? I don’t want do discuss or bring any subject about religion on my comment, but Hamlet plot starts with the death of the King Hamlet, which was provoked by his own brother Claudio’s, for jealousy just like on The Book of Hebrews, on the Bible, describes how jealous and sinful Abel was about his brother Caim when he decided to kill him.