You've hit an access violation, meaning that some code tried to access an address it's not allowed to, often because there isn't any memory at the given address. The stacktrace points to the location that tripped over the problem, which may or may not be the source of the problem. People sometimes forget about this when talking about native code, even if they are aware of it otherwise.
I've used JNA, but never had any issue with it. If there was an access violation it was my fault. Here's some simple advice.
Make sure your machine is physically sound. Test your memory with Memtest86+. There's no use hunting a software bug if it's a hardware problem.
Look at the code using JNA. Be aware that even if the calls in Java look inconspicuous, you're writing low level code that can mess with anything. Quite possible, the code using the JNA does something wrong and corrupts the memory. For example, make sure the correct calling convention and data alignment is used. If in doubt, get someone who's comfortable with C (or, more general, low level stuff) to help you.
Don't completely rule out other factors. It may well be that you hit a JVM bug or something, but be careful how likely this is. If you hear hoofbeats, think horses, not zebras.