I’m tall when I’m young, and I’m short when I’m old. What am I?

During a secret mission, an agent gave the following code to the higher authorities
AIM DUE OAT TIE MOD

However, the information is in one word only and the rest are fake. To assist the authorities in understanding better, he also sent them a clue, If I tell you any one character of the code, you can easily find out the number of vowels in the codeword.

Can you find out the code word?

There are four 3-link chains. All you have to do is join them into a big 12-link chain. For joining two closed links, one of the links must be cut and placed onto the other link for closing.

How many minimum links will you have to cut to make the big chain?

Analyze and find the missing item in the sequence:
16, 06, 68, 88, __, 98

Take away the whole and some still remain. What is it?

I am an odd number. Take away a letter and I become even. What number am I?

Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

Which famous Hollywood movie name is hidden in the below rebus?

I look at you, you look at me, I raise my right, you raise your left. What am I?

A crime was committed at baker street. Ibrahim Dakota who was shot in the stomach was the main suspect. Sherlock questioned the suspect. The conversation started as:
Sherlock: What's your story, Ibrahim?
Ibrahim: I was walking around baker street and suddenly a man from the back shot me. I ran as fast as I could to save my life".
Sherlock: That is enough (and ask the police to arrest him).

Why does Sherlock think he is the murderer?