Change your found set before you do the import records. Import with the matching option specified matches only to records in your found set. It would appear you have just one record in your found set at this time. Show All Records will pull all records that currently exist in your table into the found set if that's what you need here.
If the records that do not match should be added to the table as new records, there's an option for that you can select during the import.
Thanks, but I already have People IDs assigned to these records, which is why I have been using the update 'existing records' option when I go to import. The only problem I have had is with phone numbers so I am very confused.
Make sure to select Show All Records before importing the data. I think you have just one record in your found set at the time you attempted to import the data.