Errors on import

We are attempting to import 19000 links into the library. I tried it with just a row of headers and the first link but when I try them all I get:

Warning: fopen(): Filename cannot be empty in /home/content/a2pnexwpnas03_data03/08/3479808/html/wp-content/plugins/link-library/link-library-admin.php on line 1282

Warning: Cannot modify header information – headers already sent by (output started at /home/content/a2pnexwpnas03_data03/08/3479808/html/wp-content/plugins/link-library/link-library-admin.php:1282) in /home/content/a2pnexwpnas03_data03/08/3479808/html/wp-includes/pluggable.php on line 1179