Before getting to relationships...I'd start with some simple univariate plots of the variables (JMP's Distribution platform is your friend here...) to address the following questions:
For each variable:
1. Where's the middle?
2. How spread out is it?
3. What's the shape look like?
4. Is there anything visually apparent that might make subsequent analysis problematic? Such as missing values, nonsense values, outliers, etc. If so, what do I do next? Exclude, modify, etc.
Then:
Generally speaking, any time you are looking for relationships in data you start with simple bivariate type plots. Several platforms in JMP can work...Fit Y by X, Graph Builder, and the Multivariate platforms are all places to start. The focus of these platforms is visualization of the relationships. For a more analytical numerical approach, the Fit Model platform is a place to start.