Current price refers to the last price in real time, unless noted otherwise.
Early closure describes when an investor has the opportunity to close an open position so that the option expires immediately. Expire level: this is based on the expiry level of the underlying asset on the information feed from a data provider. Expiry time is also known as time of expiration, means an option that expires at a specific time and date such that the trade indicates if it is to be in-the-money or out-of-the-money. Expiry times can vary, some with lockout times of 10-15 minutes or as short as 3 minutes, depending on which broker you are trading with.
Knowing how long to hedge your trading decisions based on your experience with expiry time will give your portfolio an added edge in the market.