Ophelia and Hamlet-- Hamlet comments on her "white bosoms" implying some sort of sexual relationship and that is nonreligious.
Hamlet's actions do not seem very religious throughout the play- i mean even AFTER the ghost he contemplates death...."to be or not to be" - again quite nonreligious..... AFTER the ghost he commits murder of RnG and Polonius...... thus perhaps weakening the point at hand
