Will attempt to answer your questions here!

1. I believe that God loves his own Covenant people with an everlasting love,and God was said to hav eloved Osaac, but hate Rsau, correct?

2.No, rather that God dtermined that in the death of Jesus there would be an atonemnet provided for His elect , as death of Jesus was the payment in full for all sins pf those persons that God chose to receive Hid salvation.

3.Jesus death was sufficient to have accomplished the salvation of all sinners, but ONLY is applied towards those whom God chose to be His elect in Christ.

4.No, salvationd from start to finish os thework of the Lord, Romans 8, and do see that faith alone saves me, but that faith when real and active will produce good works/fruit to give evidence of now being a Christian!