It sounds like you've already tried some of the common fixes. Given that it’s an older system, one thing you might consider is checking if your current antivirus software is interfering with the update process. Sometimes, security programs can mistakenly block updates thinking they’re harmful. Temporarily disabling your antivirus while updating could help.
If that doesn't work, another approach is to download and install the updates manually from the Microsoft Update Catalog website. Search for the specific update that's failing and download the corresponding package for your Windows version and system type (either 32-bit or 64-bit).
Lastly, considering long-term stability and security, upgrading to a more recent version of Windows, if your hardware supports it, might be worthwhile as support for Windows 7 has officially ended. This would ensure you receive regular security patches and feature updates directly from Microsoft.