List Matching with Dates: Using Dates as filters

A restaurant has two lists of people it has employed (see attached). I want to see if the people on list one are on list two. I need to come up with a formula that gives TRUE for each person on list one who is on list two and false for each person on list one who is not on list two. Several caveats: 1) there are people on list one who aren't on list two and vice versa, 2) the people have several defining characteristics which need to be met, and 3) dates are involved.

With respect to point three, TRUE should only appear if the people on list one are on list two and if they were employed by the organization on a specific date (ex: 3/5/1996); in order for the TRUE statement to appear in the G column, the person should not only be on list two but also be employed on a specific date. The specific date should fall within the start and end employment contract.

Let me know if this is confusing description and more clarity is required.

Thanks in advance.