tl;dr: The /5+ is an instruction to play the chord with an augmented fifth instead of a perfect one; the degrees symbol means a diminished chord
As per the tabs (and knowing this song and having played it before), this is an overcomplicated notation for E(b9)/G# (E major with added minor ninth and G# in the bass). See: the Abm6/5+ is Ab-Cb-E-F. Enharmonically, G#-B-E-F. I say Abm6/5+ is overly complicated because E7 (inverted or not) is the dominant (has natural relation with) of Am, while the former does not belong to the harmonic field of Am (G# is the major seventh of A, while Ab is a diminished octave -- tricky).
The degrees symbol represents a diminished seventh chord (not to be confused with the diminished triad).
P.S.: this song is not in F major (A minor is more adequate) and the chords are messed up; I would rather recommend you to follow these chords. Good luck with Bossa Nova!