Thanks for the quick response and the correction!  I wonder why I as getting significant results with the wrong model? I ran it again with the model you outlined and it looks even better!   I am now doing:

Case 1:
Ho: T1-T2 > 0
               T1= 1 subj1subj3
               T2=-1    subj2
subj1            1      1 0 0   
subj2            1      0 1 0
subj3            1      0 0 1
subj1           -1      1 0 0
subj2           -1      0 1 0
subj3           -1      0 0 1

contrast        1      0 0 0

exchangeblocks 1 2 3 1 2 3

t-test
______________________________________________________
Case 2:  Thanks for directing me to the 2x2 ANOVA, I think it is exactly what I am looking for. I'd like to show the difference between groups in their treatment response (T1-T2). I think what I would be looking for here is the 'interaction term' between the 2 independent variables of group and time. Would it look like this?
Case 1:
Ho: (T1-T2)gp1 - (T1-T2)gp2 > 0  ... not sure if this is how to write it

                T1= 1 gp1=2   Tgp          subj1subj3
                T2=-1 gp2=-1                    subj2
subj1            1       2           2             1 0 0
subj2            1      -1          -1             0 1 0
subj3            1      -1          -1             0 0 1
subj1           -1       2          -2             1 0 0
subj2           -1      -1           1             0 1 0
subj3           -1      -1           1             0 0 1

contrast        0       0            1             0 0 0

exchangeblocks     1 2 3 1 2 3

f-test

Thanks again!