Send url with variables through email body in Php - php

Question

Trying to build a code to send password reset link through email in response to those who request it.
The email is received on hotmail and gmail, but not on particular mail client I do not know the configuration.
Of course, I tried several arrangements regarding the quotes and doubles-quotes, but it did not give anything.
<?php
$site = "http://www.example.fr";
$from = "info#example.fr";
$nom = "DLSS";
$limite = "_----------=_parties_".md5(uniqid (rand()));
$sujet = "Password Reset";
$text = "Please click on this link to initialize your password.";
$html = "Please click on this link to initialize your password.";
$from = $nom." <".$from.">";
$header = "From: ".$from."\n";
$header .= "Reply-to: ".$from."\n";
$header .= "Return-Path: ".$from."\n";
$header .= "Organization: ".$nom."\n";
$header .= "X-Sender: <".$site.">\n";
$header .= "X-Mailer: PHP/".phpversion()."\n";
$header .= "X-auth-smtp-user: ".$from." \n";
$header .= "X-abuse-contact: ".$from." \n";
$header .= "Date: ".date("D, j M Y G:i:s O")."\n";
$header .= "MIME-Version: 1.0\n";
$header .= "Content-Type: multipart/alternative; boundary=\"".$limite."\"";
$message = "";
$message .= "--".$limite."\n";
$message .= "Content-Type: text/plain\n";
$message .= "charset=\"iso-8859-1\"\n";
$message .= "Content-Transfer-Encoding: 8bit\n\n";
$message .= $text;
$message .= "\n\n--".$limite."\n";
$message .= "Content-Type: text/html; ";
$message .= "charset=\"iso-8859-1\"; ";
$message .= "Content-Transfer-Encoding: 8bit;\n\n";
$message .= $html;
$message .= "\n--".$limite."--";
mail($eml, $sujet, $message, $header);
?>
In summary, the email is received by this particular mail client when I replace these two lines there :
$text = "Please click on this link to initialize your password.";
$html = "Please click on this link to initialize your password.";
With these two lines here :
$text = "Test Email with link. link";
$html = "Test Email with link. link";
Or with these two lines here :
$text = $eml . " - " . $cod;
$html = $eml . " - " . $cod;
Finally, the problem is in the combination of these two parts that are the web address and the two variables, it's been three days that I try to solve this problem but I can not do it alone, it would be really nice to have help, Thanks in advance !