Yes and yes.
Same God and you need to stop confusing religion with a personal relationship with Jesus Christ (John 17:3).
Old Covenant under the Law of Moses. Read it in context Exodus 12:43-50.
Romans 4:13 - For the promise that he would be the heir of the world was
not to Abraham or to his seed through the law, but through the righteousness of faith. 14 For
if those who are of the law are heirs, faith is made void and the promise made of no effect, 15 because
the law brings about wrath; for where
there is no law there is no transgression. 16 Therefore
it is of faith that it might be according to grace, so that the promise might be sure to all the seed,
not only to those who are of the law, but also to those who are of the faith of Abraham, who is the father of us all.
Be sure to read this revelation to Pau from Jesus Christ: Galatians 1:11 - For I would have you know, brethren, that
the gospel which was preached by me is not according to man. 12 For I neither received it from man, nor was I taught it, but
I received it through a revelation of Jesus Christ.
Believers understand that the gospel is the "good news" of the death, burial and resurrection of Christ (1 Corinthians 15:1-4) and is the
power of God unto salvation to everyone that
BELIEVES.. (Romans 1:16). To "believe" the gospel is to
trust in the death, burial and resurrection of Christ as the ALL-sufficient means of our salvation.
Paul also goes on to say in Ephesians 3:1-9:
1 - For this reason I, Paul, the prisoner of Christ Jesus for you Gentiles— 2 if indeed you have heard of the
dispensation of the grace of God which was given to me for you, 3 how that
by revelation He made known to me the mystery (as I have briefly written already, 4 by which, when you read, you may understand my knowledge in the mystery of Christ), 5
which in other ages was not made known to the sons of men, as it has now been revealed by the Spirit to His holy apostles and prophets: 6 that
the Gentiles should be fellow heirs, of the same body, and partakers of His promise in Christ through the gospel, 7 of which I became a minister according to the gift of the grace of God given to me by the effective working of His power. 8 To me, who am less than the least of all the saints, this grace was given, that I should preach among the Gentiles the unsearchable riches of Christ, 9 and to make all see what is the fellowship of the mystery, which from the beginning of the ages has been hidden in God who created all things through Jesus Christ.
Those who
repent (change their mind) and
place their faith in Jesus Christ for salvation (Acts 11:17,18; 20:21) and by doing so
turn to God and
works which follow are the
fruit of repentance, (Matthew 3:8) but not the essence of repentance and also not the means of our salvation (Ephesians 2:8,9).
Galatians 3:28 - There is neither Jew nor Greek, there is neither slave nor free man, there is neither male nor female; for you are
all one in Christ Jesus.
This is old covenant, not new covenant. You continue to mix the old and new covenants and the end result is disastrous! - salvation by "grace plus law, faith plus works."
Stop confusing the old covenant (for Jews under the law of Moses and Gentiles that join themselves to the Lord
under the old covenant) with Jew and Gentile believers
under the new covenant who are all baptized by one Spirit into one body, so the
Gentiles are fellow heirs, of the same body, and partakers of His promise in Christ through the gospel (1 Corinthians 12:13; Ephesians 3:1-9).
If perfection could have been attained through the Levitical priesthood (and the law given to the people established that priesthood) why was there still need for another priest to come, one in the order of Melchizedek, not in the order of Aaron? For
when the priesthood is changed, the law must be changed also (Hebrews 7:11-12).
The law was, in fact, changed when the new covenant was established! That's why Hebrews 4:9 uses the word
sabbatismos (Sabbath rest) rather than sabbaton (Sabbath day). *Sabbatismos is only used once in the Bible. *Had the writer of Hebrews desired to emphasize the seventh day for sacred worship, the word sabbaton would have been used. Instead, Hebrews 4:9 describes a daily worship experience that brings us back to the Edenic ideal. Adam and Eve weren't given a particular day for worship. They were given every day for worship. Their Sabbath rest was to be perpetual. It was to be an every day experience of rest in fellowship with their Creator. Thus, Hebrews 4 tells us there remains a Sabbath rest for the people of God and here the Sabbath rest
is the perpetual rest to be enjoyed uninterruptedly by believers in their fellowship with Jesus Christ, in contrast to keeping the weekly seventh day Sabbath under the Law.
The change from old covenant to new covenant is much more comprehensive than you had even imagined!