The bible teaches that no one seeks for God (Rom 3:10-11). That we 'cannot' seek for God (1 Cor 2:14). If as a sinner who 'cannot' and 'will not' seek God, how does he seek for God? You can't! Your dead in your sins. Dead people don't seek for God. That is until faith is granted to us. Jesus declares "no one can come to Me unless it is granted him by the Father." (John 6:65). So then, if the father doesn't grant it you won't believe. I just don't understand how scripture says we can't believe without God granting it and then people go and say "yes you can".
(1 Cor 2:14), "The person without the Spirit DOES NOT accept the things that come from the Spirit of God but considers them foolishness, and CANNOT understand them because they are discerned only through the Spirit."
But 'does not' and 'cannot' somehow means 'does' and 'can'?
Well let's look at your verses in context.
Romans 3:9-12
What then?
are we better than they? No, in no wise: for we have before proved both Jews and Gentiles, that
they are all under sin;
10As it is written, There is none righteous, no, not one:
11There is none that understandeth, there is none that seeketh after God.
12They are all gone out of the way, they are together become unprofitable; there is none that doeth good, no, not one.
The verses above is obviously talking about sin and being righteous.
1 Corinthians 2:10-14
10But God hath
revealed them unto us by his Spirit: for the Spirit searcheth all things, yea, the deep things of God.
11For what man knoweth the things of a man, save the spirit of man which is in him? even so the things of God knoweth no man, but the Spirit of God.
12Now we have received, not the spirit of the world, but the spirit which is of God; that we might know the things that are freely given to us of God.
13Which things also we speak, not in the words which man's wisdom teacheth, but which the Holy Ghost teacheth; comparing spiritual things with spiritual.
14But the natural man receiveth not the things of the Spirit of God: for they are foolishness unto him: neither can he know
them, because they are spiritually discerned.
These verses are telling us that a man without the Holy Spirit does not know the things of God that are spiritual. Because they are spiritually discerned and that they do not have the Holy Spirit of truth.
You said that man does not come to God by faith, but none of these verses speak at all to coming to God about faith. Try to keep it in the correct context.