There are two issues that need to be addressed with the macOS version of the new version of DrJava:
There is an issue that is not only present in the new version (DrJava Beta Release 20160913-225446), but in older versions as well, where if the compressed DrJava file is downloaded while the Mac is set to only allow apps from the "App Store" or "App Store and Identified Developers", the application becomes corrupted to the point macOS prompts the user to move DrJava to the trash upon launching it after unpacking the compressed file. To replicate this issue, I would recommend going to a Mac that doesn't have DrJava and is running the latest version of macOS, make sure under the "Security and Privacy" section in system preferences that one of the two app installation options are selected (assuming the latest macOS is running there should be only two options, and if there are three options, do not select "anywhere"), and then download the app from the host website. After unpacking the the DrJava file, unpack the file, right click on the DrJava application, click open, click open again if a dialog box appears, and you should get a prompt to move the install file to the trash due to it being currupted. To "get around" this issue before it is address presumibly in a future update to DrJava, the solution in a version of OS X prior to macOS Sierra is to go to system preferences, select "Security and Privacy", and select allow applications from "anywhere". In macOS Sierra, in order to get around this issue, the terminal command "sudo spctl --master-disable" must be issued before downloading the DrJava compressed file in order to prevent DrJava from being currupted (after the file is downloaded, the user should issue the terminal command "sudo spctl --master-enable" to clear the change made).
In the new version of DrJava for Mac, after successfully dowloading DrJava as outlined above, there is another error that renders DrJava completely unusable. After launching DrJava, the app attempts to open, and then suspends. After attempting to open the application through the terminal, the prompt displays "LSOpenURLsWithRole() failed with error -10810 for the file ...". To replicate this issue, on a computer running the latest macOS, go through the steps above to downlaod and unpack the file, and attempt to launch the application, and after it fails to launch, go to the terminal and attempt to open the application. Attached is a screenshot of the terminal attempting to open the application.
NOTE: In the screenshot, it shows that the application is in the downloads folder, however the issue is still present when the application is in the applications folder.