Sir, Please find the answers below.
Role mentioned in offer letter: QA Head
Actual role alloted in the internal system: QA Manager
The appointment letter which was signed by both parties (myself & the HR Manager) reads Product QA Head.
Job descripttion shared was initially for QA Manager. I was invited for discussions mentioning that the role might vary based on the interview performance; Initially the offer was rolled out for a QA Manager role and I declined the same. The counter-offer was made with title 'QA Head'.