You could verify the files have been backed up using bplist and comparing the mtime and file size from the bplist output with that of the actual files. So I'm thinking the process would like like this:
1) Use find command to identify files older than 1 week, save output to a file (somefile.txt)
2) Use a loop to go through somefile.txt one line at a time and run the bplist command to see if the specific files have been backed up
3) Delete files that have been backed up