According to 1 John 5:13 those that believe in the name of the Son of God have eternal life.
1 John 5:13
"I write these things to you who believe in the name of the Son of God so that you may know that you have eternal life."
According to Romans 8:38 nothing can separate the believer from the love of God in Christ.
"And I am convinced that nothing can ever separate us from God's love. Neither death nor life, neither angels nor demons, neither our fears for today nor our worries about tomorrow--not even the powers of hell can separate us from God's love."
Seeking after God is not something that natural man can do. He needs to be born again first. Being born again is something that the Spirit does. Not something that man does.
Ezekiel 36:26
"I will give you a new heart and put a new spirit in you; I will remove from you your heart of stone and give you a heart of flesh."
"I will give..." "I will remove..." This is God taking action, not man.
John 3:3
In reply Jesus declared, "I tell you the truth, no one can see the kingdom of God unless he is born again."
1 Corinthians 2:14
"The man without the Spirit does not accept the things that come from the Spirit of God, for they are foolishness to him, and he cannot understand them, because they are spiritually discerned."
If salvation was left up to man, if it is man's choice, then all men would be lost. For man, without God's Spirit changing his heart, would not, indeed can not, choose God.
Peace