Commercial invoices must be issued by the beneficiary named in the letter of credit, correct?

Yes, it must be issued by the beneficiary named in the letter of credit. UCP600 requirements for commercial invoices:

A. Unless otherwise provided in the letter of credit, commercial invoices:

1) Must be issued on the face of the letter to the beneficiary named in the letter of credit

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2) The letter of credit must be made in the name of the applicant

3) No signature is required

B. Unless otherwise provided in the letter of credit, the bank may refuse to accept the amount exceeding the credit limit. Commercial invoice for the permitted amount.

C. The description of the goods in the commercial invoice must be consistent with the description in the letter of credit. In all other documents, the goods may be described by generic terms that are not inconsistent with the description of the goods in the credit.