It sounds like your new hard drive may be experiencing some technical difficulties. The blue screen of death (BSOD) is often indicative of a hardware issue, such as a faulty hard drive. Additionally, the fact that your new drive is not showing up in disk management could also support this theory.
Have you tried connecting the hard drive to a different computer to see if it is recognized? This would help determine if the issue is with the hard drive itself or with your current computer's hardware.
If the hard drive is recognized on another computer, you may need to troubleshoot your computer's hardware, such as the motherboard or SATA cables. If the hard drive is not recognized on another computer, it may be a faulty hard drive and you may need to replace it.
In the meantime, I would suggest trying to boot your computer in Safe Mode to see if you can access the hard drive. To enter Safe Mode, restart your computer and repeatedly tap the F8 key until the Advanced Boot Options menu appears. From there, select Safe Mode and see if you can access your hard drive.
If you are able to access your hard drive in Safe Mode, you may want to consider backing up any important files and data and then running a disk check or a hardware diagnostic test to check for any errors.
As for the antivirus software, it's possible that the installation may have triggered the BSOD. It's always a good idea to only download and install antivirus software from reputable sources. You could also try using Windows Defender, which is built into Windows and provides basic virus protection for free.