Comparing proportions across more than 2 groups

I'm a clinical researcher and I am comparing children who had fluid in the abdomen (ascites due to liver disease). I have 4 groups based on the kind of fluid analysis and in each group I have incidence of renal failure, bleed, altered sensorium, etc.

How should I compare these groups? Should I do multiple chi square tests taking 2 groups at a time? My number in each group is above 30 (but the number is different in each), and I am using SPSS 20.

If you go with Peter Flom's suggestion of doing a logistic regression on each outcome, be sure to adjust the p-value. Using 5% will boost the probability of a type 1 error somewhere in your results - so take something smaller. You want $1-(1-p)^r \leq 0.05$, where $r$ is the number of outcomes and $p$ will be the significance level for each test. For 4 outcomes, you want to go with a significance level of around 1% or 2%.