Donne's metaphysical poem belittles personified "Death" because of its temporary victory, after which it is paradoxically fated to "die" itself, with the Resurrection. Herbert's dialogue is reveals a male soul's entry into heaven and God as "Love" assuring the hesitant narrator's soul of its welcome to heaven. Its "Lord" is definitely a New Testament one! Both poems would be useful to write about for AO5ii, (The historical context) AO1, (Use of poetic technique) and AO3 (form, structure and language). There seems to be a progression between them. These AOs refer to Edexcel's legacy syllabus.
Julian Glover's reading of this poem is spot on!
Herbert's poem was read by Poetry Animations