Ace investor Rakesh Jhunjhunwala-backed Star Health and Allied Insurance Company's shares made a weak debut on Dalal Street on Friday. The Star Health stock debuted at Rs 848.8 on BSE, a discount of 5.7 percent to its issue price of Rs 900. On NSE, the Star Health Insurance stock began its secondary market journey at Rs 845, a discount of 6.1 percent.