Hi I've been visiting this forum every now and then and finally decided to open an account here. (This is my first post I hope I didn't get anything wrong.) As I am playing piano without a proper teacher, I would like to seek advice from you guys

I'm planning to take the LTCL next year and here is my proposed repertoire:
Beethoven's Sonata in D minor, op. 31 no. 2 ‘Tempest’ (22'30")
Mendelssohn's Andante & Rondo Capriccioso op. 14 (7')
Shostakovich's Prelude & Fugue in E minor, op. 87 no. 4 (8'30")
I'm almost done with Rondo Capriccioso (just need to speed it up) and about 1/3 way through the Sonata.
However,will the contrast between Beethoven and Mendelssohn be too small?
Should I substitute Beethoven with Mozart's Sonata in A minor (14'30") + Any 2 etudes from Chopin (~5'30") + Scarlatti's Sonatas in G minor & major (6')? Rach's Prelude in G minor (4') could be one of the options too, but I have tiny hands...