If you choose Psalm 80:1-8 then you should include the square bracketed verses from Luke, so the Magnificat is included whichever way you do things.
Micah 5:2-5a is a prophecy about one who will come from Bethlehem to restore his people and care for them as a shepherd cares for his flock.
Luke 1:46-55 is the Magnificat.
Psalm 80:1-8 is a prayer for the restoration of Israel. “Turn us again, Lord God of hosts”.
Hebrews 10:5-10 is about the sacrifice of Jesus being the will of God, rather than the Temple sacrifices that were offered according to the Law.
Luke 1:39-55 is Mary’s visit to her cousin Elizabeth.
Patricia Van Ness, Magnificat
Latin text, SSA (or TTB) and organ, moderately challenging, 6min.
Available from the composer’s website: http://www.patriciavanness.com/works-CM-accompanied.html
Gwyneth Walker, Magnificat from Bethesda Evensong
English text, SSAA Chorus, Solo Mezzo-soprano, Organ or Piano or Brass intet, Percussion, and Piano, moderately easy, 5min.
Published by E C Schirmer, availble from Presto: https://www.prestoclassical.co.uk/sheet-music/products/8101708–gwyneth-walker-bethesda-evensong-be-our-light-in-the-darkness
Helen Williams, Mary’s Whys
English text by Sarah Lutton
SATB with organ, moderately easy (extended a cappella passages), 3min.
Score and recording available from Canossa Choral Music: http://www.canossa.co.uk/MarysWhys.html