Sterility test? urologist or at home?

My husband's insurance got changed between his vasectomy & follow up appointment. So he never got the all clear approval that he's officially sterile, so we've been continuing to use birth control.

Does he need to find a new urologist for this? or can a Primary care do this? do we want a primary care to do this?? I'm guessing no since he's stated he'll "never go back to that doctor again" whichever we choose (we're in a major city so we have lots of choices of docs)

also are the at home sperm tests accurate??