Solution:

It's a Murder.

Explanation:
1. There is a sign of the struggle in the room.

2. In case of suicide, bullet wound is generally on the head but here the wound is on the chest.

3. The dead man is left handed as all his the stuff like phone pens are on the left side but the gun is on the right-hand side (must be planted).

Solution:

Costa

Explanation:
Costa brings the dagger made of ice in the thermos so it won't melt. He killed the Michy with the dagger and then the dagger melts with time.

Solution:

Tennis Player is the only man there and peter is the name of a man.

Solution:

The police officer knows the story was not true since Vasco was shot from back and he was injured only in the stomach.

Solution:

The killer is Alice.
The number in front of the month's name in the note actually points towards the position of a particular letter in every month.
Second of January = A
Third of July = L
Fourth of April = I
Second of October = C
Fourth of December = E.

Thus, the name is Alice.

Solution:

The murderer is Soumya because 26 Jan is a national holiday in India and the municipality office remains closed.

Solution:

It is not Richard because if it was, Richard 1 and Morgan 3 would both be false, which would make Richard 2 and Morgan 2 both true which is a contradiction.

It is not Travis because if it was, Travis 1 and Travis 3 would both be false, which is not possible.

Therefore, the killer must be Morgan.

Solution:

AMAN

Explanation:
The numbers actually corresponds to the months of the year.

4 - April
5 - May
8 - August
11 - November

Now when you combine the initials of these months, you will get the killer's name i.e. AMAN

Solution:

The man had jumped from an aircraft and when he tried opening his parachute, he was unsuccessful. He hit the ground crushing all his bones and died on the spot. The unopened package found near his body is the parachute.

Solution:

After five minutes, the second friend turned around to see if anyone was there or not. At this moment, he was stabbed on back by his friend.