OK, you have variable GROUP with 2 values and dependent variables HIT1 HIT2 CR1 CR2 FA1 FA2 MISS1 MISS2. I assume that the DVs are all interval (scale) measurement level and approximately normal distribution.
You go to General Linear - Repeated Measures menu. Enter within-subject factor name TIME with 2 levels. Enter 4 measures names: HIT, CR, FA, MISS. Press Define, allocate your DVs properly in Within-subject variables field, move GROUP in Between-subject factors field. If you Paste your syntax you will get this
hit1 hit2 cr1 cr2 fa1 fa2 miss1 miss2 BY group
/WSFACTOR = time 2 Polynomial
/MEASURE = hit cr fa miss
/METHOD = SSTYPE(3)
/CRITERIA = ALPHA(.05)
/WSDESIGN = time
/DESIGN = group .
Now you may run your analysis. Find within-subject (TIME) effects and interaction effect (TIME*GROUP) in table Univariate tests. Find effect of GROUP alone in table Test of Between-subject effects.
There are also other tables, including Multivariate effects, which I won't comment on in this pretty rough instruction. Good luck.