Firstly - everyone goes on about modes too much. they are useful, but to find out what key a melody is in, just listen to it and try to find your root.
Analysing a melody like that note by note is only going to lead to trouble. some of the note are accidentals, which can mislead you.
I think it is in Am7.
Try this. . .
5 x 5 5 5 x = Am7 (1 bar)

x 5 4 5 5 x = D9 (1/2 bar)

6 x 6 5 6 x = Bbm7(sus2) (1/2 bar)

5 x 5 5 5 x = Am7 (1 bar)

0 7 6 7 9 x = E7(#9) (1 bar)

Let me know what you think eh?