Guess this song and band… All we do is hide away
All we do is, all we do is hide away
All we do is chase the day
All we do is, all we do is chase the day

All we do is lie and wait
All we do is, all we do is lie and wait
All we do is feel the fade

name of the song -All we do

and its by Oh wonder

i'm not sure i completely understand your question, but i will do my best.

i think the answer you are looking for is sequence. (see below)

a repeated melodic fragment would be best defined as repetition, while repeated chords (different or the same) could be a chord progression. however, you then mentioned the chord and melodic fragment beginning on higher or lower pitches, in that case, the answer could be best defined as a sequence. the definition of a sequence is as follows: "the restatement of a motif or longer melodic (or harmonic) passage at a higher or lower pitch in the same voice."

let me know if this !