Some Jews will come to Christ but the whole nation including the 144,000 will be left behind when Christ takes the Church.
I believe that the “times of the gentiles” ends at the rapture. Then Christ will take away their blindness and all Israel will be saved. Jacob (the natural man) will be healed.(Roman 11:26) Something like when Joseph sent out all the gentiles and revealed himself to his brothers.
That is true. The Covenant with Israel remains forever, though.