You should look for the columns with header "beta", and the P values ("sig"). Its interpretation needs a little search and reading. This way, you can check the effect of each variable when the effect of other variables is controlled for. There are some other ways too but I don't want to make it look confusing.
Then select the variable BMI as your dependent variable, and select the other ones as independent variables. Then as hlsmith mentioned, you can run a linear regression from "Analyze -> Regression -> Linear". Or you can put the new values in a new SPSS file, as you are not obliged to necessarily use the same SPSS file your BMI values are stored in. You can put the new values into another column. SPSS or all other software allows you to have as many columns as you want. You don't need to delete them before adding new columns (variables) to your SPSS file. Click to expand.lol, that is not a problem at all.
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