There are several forged checks, all from the same person, against my account. The bank claims that as more than 60 days have elapsed, it doesn't have to do anything. Is this true?

You are responsible for reviewing your periodic statement. If there was only one forged transaction, you generally have up to one year after the statement date to notify the bank. But if there were multiple forged transactions from the same person, you generally have 30 days from the statement date to find the error and inform the bank. (Please note: the time period for this prompt notification may vary by bank and State.)

Your Deposit Account Agreement specifies your bank's specific time requirement. Review the agreement and contact the bank directly regarding any alleged error(s).