It appears your internal HD has hardware issues.
You should immediately backup your data, most important files first, to a different external HD (not the SSD you're going to use) or the SSD if you have no other drive immediately available, as the HD could die at any time.
Once that is done, read on, as it may be possible to work around the read errors.
Per CCC:
Read errors are typically a result of media damage — some of the "sectors" on the hard drive have failed and macOS can no longer read data from them. Read errors can occur on the source or destination volume, and they can affect old disks as well as brand-new disks. When read errors occur, the file or files that are using the bad sector must be deleted. Bad sectors are "spared out" — permanently marked as unusable — only when the files on those sectors are deleted.
If CCC has reported dozens or hundreds of files that are unreadable due to media errors, we recommend replacing the affected hard drive because it is likely failing. Small numbers of unreadable files, however, are not necessarily an indication that a hard drive is failing. The steps below indicate how to resolve media errors.
- Click on the affected item in the Task History window, then click on the "Reveal in Finder" button.
- Move the affected files and/or folders to the Trash.
- Empty the Trash.
- If you had to delete items from your source volume, locate those items on your backup volume and copy them back to the source (if desired).
- If CCC reported problems with more than a few files or folders, we strongly recommend that you reformat the affected disk in Disk Utility. If the affected disk is not an SSD, click the "Security Options" button in the Erase tab and drag the slider to the right to specify the option to write a single pass of zeroes. Writing zeroes to every sector will effectively detect and "spare out" any additional failing sectors that have yet to be discovered. If the affected disk is your startup disk, boot from your CCC bootable backup volume to perform this procedure (after you have allowed CCC to complete a backup).
Once you have deleted the affected files, you should be able to re-run your backup task with success.
Note: If you do not have a backup of the affected files, please scroll to the top of this document and exhaust the hardware-based troubleshooting techniques first. As indicated above, read errors are typically a result of media damage. In some rare cases, though, media errors can be errantly reported when a hardware-based problem exists (e.g. a bad port, cable, or enclosure). If deleting your only copy of a file is the suggested resolution, then it's prudent to rule out everything else as the cause of an issue before deleting that file.
Read the rest of the document for other important information: Identifying and Troubleshooting Hardware-Related Problems | Carbon Copy Cloner | Bombich Software