(1) the name of the foreign limited liability company as it appears on the index of names of existing domestic and authorized foreign limited liability companies of any type or kind in the department of state, and the fictitious name, if any, the foreign limited liability company has agreed to use in this state pursuant to section eight hundred two of this article;
(2) the jurisdiction of its organization;
(3) the date it was authorized to do business in this state;
(4) each amendment effected thereby; and
(5) if the true name of the foreign limited liability company is to be changed, a statement that the change of name has been effected under the laws of the jurisdiction of its formation and the date the change was so effected.
(b) Every foreign limited liability company that has received a filing receipt entitled "Certificate of authority of... (name of foreign limited liability company) under section eight hundred five of the Limited Liability Company Law," evidencing authority as provided herein, shall, within ninety days after it has changed its name in the jurisdiction of its formation, file an amendment to its application with the department of state under subdivision (a) of this section.