Here backing track number 4,
The changes are as follows:-
||: Amaj7 / / / | / / / / | Bb7alt / / / | / / / / | Dmaj7 / / / | / / / / | C7sus4 / / / | / / / / :||
Use A major/lydian over the Amaj7 chord
Use Bb superlocrian/altered over the Bb7alt chord
Use D major/lydian over the Dmaj7 chord
Use C mixolydian over the C7sus4 chord
Try continuous scale exercises, motif playing and free improvisation.
Good luck!