Part 1 of your problem
Logistic regression is available is SPSS via the Regression Model.
You select binary logistic
and complete the dialogue boxes.
below two set of menus
For question 2, it would be useful to know type of design and why you wish to compare model with different dependent.
**Default model with a categorical variable
LOGISTIC REGRESSION VARIABLES Y
/METHOD=ENTER X
/CONTRAST (Agegrp_Marriage )=Indicator
/PRINT=CI(95)
/CRITERIA=PIN(0.05) POUT(0.10) ITERATE(20) CUT(0.5).
****Model with Reference Category for X1 is the first category, and for X2 is last - i.e. the default
*****Variable addition using forward conditional likelihood
** summary results produced at the last step,
LOGISTIC REGRESSION VARIABLES Y
/METHOD=FSTEP(COND) X1 X2
/CONTRAST (X1)=Indicator(1)
/CONTRAST (X2)=Indicator
/PRINT=SUMMARY CI(95)
/CRITERIA=PIN(0.05) POUT(0.10) ITERATE(20) CUT(0.5).
best wishes