Hi Denise. I'm Greg, an installation specialist and 9 year Windows MVP here to help you.
You can delete a .dat data log file, and it's especially safe to delete if it is labeled old since that means it's the previous version before the last one taken. You'd only need to refer to those logs if you have problems resulting from whatever program made the log.
Or you can leave it as it won't harm anything unless you need the space.
If ever in doubt that you're infected Run a full scan with the most powerful on-demand free scanner Malwarebytes:
https://www.malwarebytes.com/mwb-download/. In the Scan Settings first set it to include scanning for Rootkits.
Clean up anything found, restart PC and then run again until it comes up clean.
Check for any remainders in Settings > Apps > Apps & Features, and also in each of your browser's Extensions, Home Page settings, Search service or Add-On's as shown here: https://community.box.com/t5/How-to-Guides-for-...
Then check for damaged System Files: https://www.lifewire.com/how-to-use-sfc-scannow...
If it cannot repair them see Step 10 here to continue: http://answers.microsoft.com/en-us/windows/wiki...
If you want to keep Malwarebytes as an on-demand scanner then you can turn off its Real Time trial version in it's Settings > Account Details tab.
I hope this helps. Feel free to ask back any questions and let us know how it goes. I will keep working with you until it's resolved.
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Standard Disclaimer: There are links to non-Microsoft websites. The pages appear to be providing accurate, safe information. Watch out for ads on the sites that may advertise products frequently classified as a PUP (Potentially Unwanted Products). Thoroughly research any product advertised on the sites before you decide to download and install it.