Any nonresident of this state who is the operator or owner of any aircraft and who accepts the privileges extended by the laws of this state to nonresident operators and owners of aircraft of using its aviation facilities, or of having the same operated over, or who operates an airplane above or upon, the territorial limits of this state, shall, by such operation, be deemed to have appointed the executive director of the Connecticut Airport Authority, such operator or owner’s agent and attorney for the service of process in any civil suit or proceeding instituted in the courts of this state against such operator or owner arising out of or by reason of any accident or collision, occurring within or above the state, in which such aircraft is involved. Such process shall be served by the officer to whom the same is directed upon the executive director by leaving at the office of the executive director, at least twelve days before the return day of such process, a true and attested copy thereof, and by sending to the defendant at such defendant’s last-known address by registered or certified mail, postage prepaid, a like true and attested copy, with an endorsement thereon of the service upon the executive director. The officer serving such process upon the executive director shall pay to the executive director at the time of service a fee of five dollars, which fee shall be taxed as costs in the case. The executive director shall keep a record of each such process and the day and hour of the service thereof. This section shall extend the right of service of process upon nonresidents and shall not limit any existing provisions for the service of process. Such service shall be sufficient to confer jurisdiction of any such action upon the court to which such process is returnable, and such court may proceed to determine the issues in such action and render final judgment with or without any further action by such court concerning further order of notice to such operator or owner.