Bought new computer and Bioshock2 will not start

I played Bioshock 1 and 2 on my old computer. I bought a new computer. Bioshock 1 plays but Bioshock 2 will load and I get the "online release date check" message. What do I do.

Is this is is with the standalone DVD installer? Because the error message you have is related to a failed digital rights check by SecuROM, a DRM that has been discontinued for quite sometime:

The software gradually fell out of use. Shortly after the release of Windows 10, Microsoft announced that games with SecuROM DRM would not run on its new operating system. Citing security concerns over the software due to the way in which it becomes "deeply embedded" in the system, Microsoft said that "supporting SecuROM could have been a possible loophole for computer viruses" to exploit.

Avoid headaches and get the Bioshock Remastered Collection instead for better compatibility on new OS and hardware. If you can't then try this: SecuROM Support Website - BioShock 2

Q: During setup I get the error message: 'Release date check failed'.
A: Please follow the steps below to manually perform the release date check.

Important: This can be done before you start the setup / installer of 'BioShock 2' or after the game has been installed already.

1:) Download the Manual Release Date Check tool here: http://download.securom.com/support/...ivatorTool.zip
2:) Unpack the zip archive and launch the OfflineActivatorTool.exe
3:) The welcome screen asks you to save the ActivationRequest.dfa file on your hard disc (for example, to your Desktop)
4:) Open your browser to the website BIOSHOCK
5:) Enter the path to the ActivationRequest.dfa file and the security code in the website and press the "Submit Query" button
6:) Download the ActivationResponse.lic file to your hard disc (for example, to your Desktop)
7:) Return to the activation dialog browse to the ActivationResponse.lic file you've stored in the step above and press the "Activate" button
8:) You will get a success message
9:) You can now run the setup of 'BioShock 2' or if you have already installed it, start the game via the shortcut.