Hi and welcome to the site, I’m Louie. Sorry you had to wait awhile but I’ll do my best to help.
Initially, are the "...phonebook numbers..." entries exactly the same as when "...put in each phone number manually..."? No special character such as an " * " ?
And can you please verify that the Panasonic KX-TG633 is set for TONE dialing (not pulse) ? # 1 2 0