Here are my answers.

 

Question 1

Hundai is only having trouble with one of their new models.

Your answer

 

Hyundai is only having troubles with one of its new models.

 

Question 2

He claimed he knows a star athelete who will sign with the company.

Your answer

 

He claims to know a star athlete who will sign with the company.

 

Question 3

Travelling across India, it's vastness effected him.

Your answer

 

When he travelled across India, its vastness affected him.

 

Question 4

Like I said, he should be like I and do like I do.

Your answer

 

He should be like me and do as I do.

 

Question 5

The war hero was presented with a gallantry award by the President.

Your answer

 

The President presented the war hero with a gallantry award.