Basically, 1 tonality, the main tonal is consisted of a minor and the relative major, and some secondary dominants.
In the 6th and 7th bar of B, IV7 -> II7 (or IIm7(b5)) is a kind of deceptive cadence. By considering that IV7 is V of VIIb, II7 seems to be III7 of VIIb, then the root motion look like a deceptive cadence of the basic V -> III.
The original was written in 3/4, and the last note is minor 3rd. from The New Real Book I
The original recording published in 1931. Performed by the Jay Wilbur Orchestra. from YouTube