Logic

Role List:

Jarvan - Lord Mortulus
Galio - Neira
Caitlyn - Lynx
Garen - Plesen
Kaili - Naver Leengard
Karma - Pobeditel
Teemo - Morning
Zilean - Rudy
Nidalee - Ment
Ezreal - Tox
Poppy - Nebo (Lord Mortulus)

Malzahar - Spear
Kassadin - Toriy
Cho'Gath - Wishmaster
Kog'Maw - Rayner

Katarina - Gumer
Sion - Arandor
Swayn - Drakkoshka
Urgot - Zybr

Twist - Mona

Night 1

1. Galio Block - Morning +
2. Kassadin Block - Rudy +
3. Caitlyn Checks - Wishmaster + (status evil)
4. Garen Protects - Nebo +
5. Kaili Protects - Tox +
6. Sion Protects - Gumer +
7. Karma Compares - comparison of Spear and Ment + (same. Naver Leengard - good)
8. Nidalee Watches - Plesen +
9. Ezreal Watches - Ment +
10. Poppy Kills - skip turn +
11. Urgot Kills - Naver Leengard +
12. Cho'Gath Kills - Lord +
13. Zilean Heals - Zybr - (failure, block)
14. Twist Leaves Mark - Drakkoshka. Hiding from Ment. Status - evil. +

Kill by Noxus

The gears left at the crime scene were quickly dismantled by mobs for souvenirs.

Gears = Gears of War (both by symbol and translation).
"King of the Hill" in Zybr's profile = "king of the hill" multiplayer mode in Gears of War (this is mentioned in the wiki article "king of the hill").

Naver Leengard hovered over Tox, clearly not intending to let him be harmed
the second one scorched his wings and forced him to drop his weapon

First rocket etc.

Kill by Abyss

spat out underwear with a "Purgatory" label

Purgatory - Saint Patrick's Purgatory.
Tier on Nog from Wishmaster's profile - Ireland, Saint Patrick.

Lord Mortulus, preoccupied with thoughts of changing taxes
A cry "For Dem..." -sia

SOMETHING the size of a three-story house crept up on him
together with its master in the belly of the beast. A bloated creature

NNV

Night 2

1. Galio Block - Rudy +
2. Kassadin Block - Zybr +
3. Caitlyn Checks - Rudy + (status evil)
4. Garen Protects - Arandor +
5. Sion Protects - Zybr +
6. Karma Compares - comparison of Gumer and Ment + (different. Lynx - good)
7. Nidalee Watches - Zybr +
8. Ezreal Watches - Rudy +
9. Poppy Kills - skip turn +
10. Urgot Kills - Toriy - (failure, block)
11. Kog'Maw Kills - Lynx +
12. Zilean Heals - Spear - (failure, block)
13. Twist Leaves Mark - Neira. Hiding from Toriy. Status - evil. +

Kill by Abyss

only a Charter signed by Peter remained.

March 10 from Rayner's profile - Archives Day:

The celebration date was chosen as February 28, 1720 (March 10 according to the new style). On this day, Peter the Great signed the first state act in Russia — the "General Regulation or Charter".

Lynx was the first to discover the site of the Lord's (First Lord's) murder and was now examining it carefully. (did her ND and came to get an extra clue)
Lynx raised her weapon (it is a rifle)

acid spit
acid projectile

Zybr executed - Urgot.

Night 3

1. Galio Block - Gumer +
2. Kassadin Block - Rudy +
3. Garen Protects - Rudy +
4. Sion Protects - skip turn +
5. Karma Compares - comparison of Gumer and Rudy + (different. Rudy - evil.)
6. Nidalee Watches - Drakkoshka +
7. Ezreal Watches - Toriy +
8. Poppy Kills - Rudy +
9. Malzahar Kills - Tox +
10. Katarina Kills - Ment - (failure, block)
11. Zilean Heals - Neira - (failure, block, death)
12. Twist Leaves Mark - Pobeditel. Hiding from Arandor. Status - good. +

Kill by Poppy

where among simple chatter, unreachable dreams were clearly emphasized

Hallucination (Neo-Latin hallucinatio < Latin alucinatio — meaningless chatter, delusions, unreachable dreams).
"Forever young, forever drunk" from Lord Mortulus's profile = the band "Smylovye Gallyutsinatsii" (Meaningful Hallucinations).

Rudy waved his hands, trying to stop time
The groundskeeper found many different types of clocks among the victim's belongings

A huge hammer, descending with unimaginable force,

Kill by Abyss

several books about fools and madmen

Gotham is a real English village in Nottinghamshire. In English folklore, it appears in folk tales about fools. The most famous story tells how the villagers pretended to be insane

Gotham City in Spear's profile.

Description of ND action on Toriy

A man's eyes flashed unkindly, and a moment later a deadly beam rushed from them toward Tox
accompanied by a creature that appeared out of nowhere

Gumer executed - Katarina.
Modkill Neira - Galio.

Night 4

1. Kassadin Block - Lord Mortulus +
2. Garen Protects - Morning +
3. Sion Protects - skip turn +
4. Karma Compares - comparison of Ment and Drakkoshka + (same. Ment - evil.)
5. Nidalee Watches - Spear +
6. Swayn Kills - Ment +
7. Poppy Kills - Plesen - (failure, block)
8. Kog'Maw Kills - Arandor +
9. Twist Leaves Mark - Plesen. Hiding from Pobeditel. Status - evil. +

Kill by Noxus

left large round mouse ears next to the corpse

April 6 from Drakkoshka's profile = World Animation Day.

Surveillance
Ment decided to stop the surveillance and, going deep into the forest, took human form

Ravens, hundreds of them

Kill by Abyss

Kog'Maw attacked Sion. He did not die; there are no clues yet.

NNV

Night 5

1. Kassadin Block - Plesen +
2. Garen Protects - Arandor - (punishment)
3. Sion Protects - protection of Drakkoshka +
4. Karma Compares - comparison of Arandor and Drakkoshka - (punishment)
5. Swayn Kills - Plesen - (failure, immunity)
6. Poppy Kills - Plesen - (punishment)
7. Malzahar Kills - Pobeditel +
8. Twist Activates Explosion. - Plesen and Drakkoshka die. Hiding from Plesen. Status - good. +

4 Abyss mafia remain against Teemo, Poppy, and Twist. The vote is absolutely in favor of the mafia; the night, due to special features, is too.

THE END.

Not a single clue was solved, I am sad.