Yes, the chorus is in Eb, and it starts on the IV chord:
IV7 | IV7 | iv7 | iv***
I6/5 | I7 | V/V | V/V
ii7 | ii7 | iiø7 | viio4/3 ** V7
**Here the Bo7 is operating as an approach from above to the Bb7, as well as arguably adding a tinge of diminished to the Bb7 sound itself (could be construed as a Bb7b9, which actually has all the notes of a Bo7 chord built-in). The reason it is notated as a chord built on degree vii (instead of #V, as B is the #5th note of Eb) is because the notes in Bo7 are also in Do7: B D F Ab -> D F Ab B. Do7 is the fully-diminished leading tone chord in Eb, so I just took it from there and indicated it was in inversion (the 4/3), which gives the correct "layout" of the chord to make Bo7.
*** The Abm6 could be construed as an inversion of F-7b5 (iiø7) for analysis purposes but I'm leaving it as a minor iv chord for simplicity/practicality.
And for the verse (D major):
I | vi7 | IV | ii9
I | vi7 | IV7 | bIII7
The Fmaj7 (bIII7) chord is indeed a modal mixture chord (arguably borrowed from D minor).