Yeah that is for name change. Gender marker you just need a DRs letter. The second link has a sample letter you can have your DR use
If the correction you desire is not addressed above or you require additional information, you may contact the Division of Vital Records by one of the methods listed below:
Telephone: 1-844-228-3516 or 724-656-3100, select prompt #5.
Mail:
Please submit a completed application form and specify the correction(s) desired to the birth certificate. You may download the application form for mail and in-person requests.
The individual requesting the correction must include the completed application form, a legible copy of his/her valid government-issued photo ID verifying current mailing address, the required fee or armed forces information and a self-addressed stamped envelope.
Please mail your request to:
Division of Vital Records
Attn: Corrections Unit
101 S. Mercer St., Room 401
P.O. Box 1528
New Castle, PA 16101