Not sure about one chord, but other than that I feel like it's fine :)
No Capo

C           G
All I need, all all I need,
C           F
All I need, all all I need,
C           G
All I need, all all I need...

C                    F
   It's early in the morning,
C                      G  
   I'm laughing at the sun. 
C                       F      
   My mirror disappoints me.
C                G    F
   Am I the only one? 

(Chorus)
C
All I need, all all I need,
F
All I need, all all I need,
C
All I need, all all I need...
G
Is you
F
smiling
C
at me, all all I need,
C
All I need, all all I need,
F
All I need, all all I need...
G        F
is life, love
F    C
with you

C                      F
   I think I'm getting closer
C                       G
   but the scenery's the same.
C                      F
   Am I A disappointment? 
C                      G   F                   
  I'll blame it on the pain. 

(Chorus)
C
All I need, all all I need,
F
All I need, all all I need,
C
All I need, all all I need...
G
Is you
F
smiling
C
at me, all all I need,
F
All I need, all all I need,
C
All I need, all all I need...
G        F
is life, love
F    C
with you

Am
All I need is you
         Em
is all I need, 
                    C
if you could simply believe
                      Dm
in me and we would be forever
   F    to ?
together

C
All I need, all all I need,
F
All I need, all all I need,
C
All I need, all all I need...
G
Is you
F     
smiling
C
at me, all all I need,
F
All I need, all all I need,
C
All I need, all all I need
G
is you 
F
smiling
C
at me
C
all I need is you
F
is all I need
C
all I need is you
G
is all I need
C
all I need is you
F
is all I need
G        F
is life, love
F    C
with you.