In much the same way that the prophets waited, so the angels of God bid their time until God revealed the things He spoke of long ago. And His angels trusted Him, and waited too.

Do you do a personal and private investigation of all new members in your congregation because you cannot just accept what the Pastor says about a newly baptized member, someone you don't know and with whom you must interact?

Of course the angels trust God, but God, because He is an honest and just ruler, decided to give a public explanation for His decisions - that's why He makes a public judgment.

Suppose you arrive at church to attend a baptismal service, and when the curtain of the baptismal tank is drawn aside, you see there in the tank someone you knew in the past as a child molester. No explanation is given. Would you have some questions to make about him to the pastor or to the elders after the service or not?

Do you do a personal and private investigation of all new members in your congregation because you cannot just accept what the Pastor says about a newly baptized member, someone you don't know and with whom you must interact?
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Thorough Instruction and Public Examination Before Baptism—
Candidates individually or in a baptismal class should be instructed from the Scriptures regarding the Church’s fundamental beliefs and practices and the responsibilities of membership. A pastor should satisfy the church by a public
examination that candidates are well instructed, are committed to taking this important step, and by practice and conduct demonstrate a willing acceptance of Church doctrines and the principles of conduct which are the outward expression of those doctrines, for “by their fruits you will know them”
(Matt. 7:20).
“The test of discipleship is not brought to bear as closely as it should be upon those who present themselves for baptism. It should be understood whether they are simply taking the name of Seventh-day Adventists, or whether they are taking their stand on the Lord’s side, to come out from the world and be separate, and touch not the unclean thing. Before baptism
there should be a thorough inquiry as to the experience of the candidates.
Let this inquiry be made, not in a cold and distant way, but kindly, tenderly, pointing the new converts to the Lamb of God that taketh away the sin of the world. Bring the requirements of the gospel to bear upon the candidates for baptism.”—6T 95, 96. Church manual 2010 page 44

The angels of God trust His judgement. Only SDA teach distrust in heaven.

Where did He ever give a "public explanation for His decisions"?

Do you do it?

Yes there is to be a process --

And God is not a dictator -- His kingdom is based on love where everyone lives according to God's ways BECAUSE THEY LOVE TO live that way, and they love Him. If God demands blind trust, why didn't He simply squelch sin when it first manifested itself? Why not get rid of the evil spirits (fallen angels) right away thus stopping all the pain, suffering, war, misery and everything else sin has brought, rather than letting it drag on for thousands of years.

Sin started in heaven. Doubts were placed in the minds of the angelic hosts by a high ranking angel name Lucifer. He was "covering cherub, from the midst of the stones of fire." {Ez.28:16) "the anointed cherub that covers;" he was "upon the holy mountain of God; and walked up and down in the midst of the stones of fire.
He was perfect in all his ways from the day that he was created, till iniquity was found in him. (Ez. 28:14) He had great influence in a realm where to that point sin was totally unknown. Yes he planted a lot of doubts in the minds of many of the angels. Quite a few "left their first estate" (Jude 1:6)and joined him in his growing darkness.

This whole sinful world is an exhibition of Lucifer/satan's supposedly "better plan" in opposition to God's just and holy rule. This exhibition should remove all doubts of anything "better" in what satan offers. While we do need to learn to fully trust God even when we don't see the end from the beginning. God will still reveal to all, to the angels, as well as humans, His ways, so as to remove any and all doubts forever. When the sin demonstration of satan's ways is forever ended, sin will never again manifest itself, because God allowed this fallen angel to demonstrate the nature of his claims, but He also thoroughly revealed His own just, loving, fair and holy way, and everyone is 100% certain that He is the God they want to PRAISE AND WORSHIP and obey for eternity.

He will do it - in the judgment. Eccle 12:14 For God shall bring every work into judgment, with every secret thing, whether it is good, or whether evil. 2 Cor 5:10 For we must all appear before the judgment seat of Christ, so that each one may receive the things done through the body, according to that which he has done, whether good or bad.

Yes, of course I would [investigate] in case this happened. Perhaps you have missed my post #164201.

Again ... the cleansing of the sanctuary by the sprinkling of the "blood of Christ" alone, is the gift of the Holy Spirit and is sufficient as the guarantee of salvation. At the end, there is only one question: do you have the Holy Spirit or not? God knows who are His; and His angels are fully aware of who the people of God are.

Those don't say anything about a "public explanation for His decisions".