Citizen Xthe difference between عبادات and معاملات you made a very weak (to be precise ignorant) argument earlier too.
For this we will have to understand what does Ibadat really means. Ibadat means when you have totally given yourself up so someone and follow and do what ever that someone says. He then becomes your Mabudh i.e the one you worship and adore and you become his abid i.e the one who worships and adores, the worshipper and adorer. So when you are following the commands of your Mabudh you are doing his ibadah. If you follow and obey Allahs commands then you are doing his ibadah and he is your mabudh. But if you are following your sect, your madhab, your scholars then they become your mabudh and by following and obeying them you are doing their ibadat
And mamalat a term which the Quran does not contain are human interactions, contracts, and societal laws governing relationships between people. Outside of the major commands Allah gives like not to kill, steal, what is halal and haram so on a so forth, Allah also tells us how to handle our mamalat so a better society for all mankind kind be established. So carrying out your "mamlat" according to your specific madhab if in accordance to Allah's commands is also actually Ibadat
you also skipped حقوق الله and حقوق العباد
Again the Quran is void of both these terms which came in waaay later through hadith. But if you read the Quran its not very difficult to guage what the rights of Allah.
Exclusive Right to Worship
"And your Lord has decreed that you worship none but Him..." (Quran 17:23)
"Worship Allah and associate nothing with Him..." (Quran 4:36)
Prohibition of Shirk (Associating Partners with Allah)
"Indeed, Allah does not forgive associating others with Him [shirk], but He forgives what is less than that for whom He wills..." (Quran 4:48)
Obedience to Allah Above All
"It is not for a believing man or woman—when Allah and His Messenger decree a matter—to have any choice in their matter..." (Quran 33:36)
Allah’s Right Over All Creation
"I did not create the jinn and mankind except to worship Me." (Quran 51:56)
Allah’s Right to Judge and Command
"The command rests with none but Allah. He has commanded that you worship none but Him..." (Quran 12:40)
Similarly Quran is also void of the term Huqooq Al Ibad and cannot even be found in the hadith. But only later introduced into Islam by "fiqh scholars" But looking at it strictly from the Qurans point of view and in relation to this post. Huqooq Al Ibad are nothing but "mamlat" which as explained earlier are part of ibadah of Allah.
I can go into detail of what these are from the Quran if you want. Like I did with حقوق الله butin the interest of saving time and you reading very long posts which I know you like to skip over I didn't
I know this answer is not satisfactory to you because you were hoping or think that ibadat and حقوق الله would be your rituals like namaz, roza, hajj. But they are not.