Q: Are there two Gospels taught in the New Testament, “The Gospel of the Kingdom and the Gospel of the Grace of God?”
A: No. There is only one Gospel, the Gospel of the Grace of God, though it has its various aspects of which the Kingdom is one. It is possible to distinguish between the Gospel as preached now and the message that will be delivered in a future dispensation when the Church has been taken away, but I do not think the distinction is absolutely clear in the New Testament. Look up the various verses in connection with the Gospel. For example:
The Gospel of God, The Author;
The Gospel of Christ, The Subject;
The Gospel of the Grace of God, The Ground;
The Gospel of the Kingdom, The Effect;
The Gospel of the Glory of the Blessed God, The Outcome.