You're not looking for a new issuance certificate, that's what this form is for. You are looking to replace a lost or damaged certificate.
The FSDO AW ASI can replace the AWC as long as you have a current registration and logbooks for the aircraft.
FAA Order 8130.2G
215. Replacement, Exchange, or Amendment of Airworthiness Certificates.
a. Replacement.
(1) The FAA may issue a replacement airworthiness certificate when a certificate is declared lost, has been mutilated, is no longer legible, or contains inaccurate and/or erroneous information. The replacement airworthiness certificate must carry the original issue date of the certificate being replaced, preceded by a capital “R” in the Date block of the certificate. Replacement certificates also will be issued when the aircraft registration number has been changed, and the ASI must forward a copy of the replacement certificate and a copy of the Aeronautical Center Form 8050-64 to AFS-750. In these cases, a new application for airworthiness certification is not required.
(2) Request for a replacement certificate will be made to the local FAA office or, for air carriers, to the applicable certification office. The registered owner or certificate operator will certify this by submitting a signed statement containing the registration number (N-Number), serial number, make, and model of the aircraft, and a reason the replacement certificate is needed. Replacement of airworthiness certificates must not be accomplished by verbal agreement with the assigned ASIs or through procedures contained in air carriers’ manuals that allow the continued operation of an aircraft without an airworthiness certificate. Such actions are contrary to 14 CFR §§ 91.203(b) and 121.153(a)(1), and 14 CFR part 135, Operating Requirements: Commuter and On-Demand Operations and Rules Governing Persons on Board Such Aircraft, 14 CFR § 135.25(a).
(3) A replacement airworthiness certificate may be issued without supporting documentation from AFS-750 if the date of issuance and the airworthiness classification and/or category of the lost or mutilated certificate can be positively established from the aircraft records, or from the remains of the certificate. If there is insufficient data on which to base issuance of the replacement certificate, the FAA ASI will obtain the required data electronically, by telephone, or by mail (such as the application form or previously issued airworthiness certificate) from AFS-750.
(4) Before issuing a replacement certificate, the FAA must review the aircraft records and, if necessary, inspect the aircraft to ensure that the applicant’s request is justified and the aircraft is eligible for the airworthiness certificate requested.
(5) Both a copy of the replacement certificate and a copy of the registered owner’s or certificate operator’s request for a replacement certificate (see paragraph 215a(2) of this order) or an Aeronautical Center Form 8050-64 (see paragraph 215a(1)) must be forwarded to AFS-750.