Well, brother, the "rest" of which the Hebrew writer wrote is more than just our salvation. The Promised Land of Canaan is symbolic of the entire spiritual inheritance every believer has obtained by being placed "in Christ" by the Holy Spirit. As you know, it is in the context of the Israelites' refusal to enter the Promised Land that Hebrews 4:10 was written. The land of Canaan was to be the resting place for the wandering Israelites, a homeland given to them by God, overflowing with milk and honey. But the Israelites would have to go in and take the land from those who lived in it - giants (the Anak) and strong people in great cities (and many of them - Hittites, Jebusites, Amorites, Canaanites). The writer of Hebrews recounts though:
Hebrews 3:6-12
6 but Christ is faithful over God’s house as a son. And we are his house if indeed we hold fast our confidence and our boasting in our hope.
7 Therefore, as the Holy Spirit says, “Today, if you hear his voice,
8 do not harden your hearts as in the rebellion, on the day of testing in the wilderness,
9 where your fathers put me to the test and saw my works for forty years.
10 Therefore I was provoked with that generation, and said, ‘They always go astray in their heart; they have not known my ways.’
11 As I swore in my wrath, ‘They shall not enter my rest.’”
12 Take care, brothers, lest there be in any of you an evil, unbelieving heart, leading you to fall away from the living God.
So long as the born-again believer lives by faith in the truth of their spiritual inheritance in Christ, they may enjoy all the "milk and honey" that is theirs in him (Ephesians 2:4-10, 19; Romans 6:1-11; Romans 8:15-17; Galatians 2:20; 1 Corinthians 1:30; Revelation 1:5-6, etc.) . But, if the believer doubts the promise of God concerning all that is theirs in Jesus, their heart hardening in faithless rebellion toward God and His word, like the Israelites, they will "fall away" from all that could be theirs spiritually, living instead in a spiritual wilderness full of dust and scrub brush.
Hebrews 3:14-19
14 For we have come to share in Christ, if indeed we hold our original confidence firm to the end.
15 As it is said, “Today, if you hear his voice, do not harden your hearts as in the rebellion.”
16 For who were those who heard and yet rebelled? Was it not all those who left Egypt led by Moses?
17 And with whom was he provoked for forty years? Was it not with those who sinned, whose bodies fell in the wilderness?
18 And to whom did he swear that they would not enter his rest, but to those who were disobedient?
19 So we see that they were unable to enter because of unbelief.
The born-again person is meant by God to "share in Christ," to enjoy all that is theirs spiritually as a "co-heir with Christ." But unbelief, a refusal to trust God's word over what we feel, and see, and experience, is sin (which is always, at its core, rebellion toward God) that always leaves us in the wilderness spiritually, adopted by God but not enjoying and benefiting from what that means.
In any case, "entering into rest" is not about leaving off right living, off trying to earn salvation, but about taking by faith the "land of promise" that is the believer's spiritual birthright. And as this happens, you can be sure that holiness, righteousness, is an inevitable result.
The Israelites were God's children even in the wilderness. Though they had refused to believe God's promise and were kept from the land of Canaan, God continued with them, protecting, providing for, and leading them. So, too, the believer who, being in Christ, neglects to lay hold of, by faith, their spiritual inheritance in him. Doing so does not eject them from God's family any more than the faithlessness of the Israelites at the border of the Promised Land severed their connection to God as His Chosen People. God remains faithful even when we don't.
Hebrews 13:5
5 ...be content with what you have, for he has said, “I will never leave you nor forsake you.”