Hi Evik,
It is extremely common in US for people to decide to go back to school or go for their MBA in their 30's. There are no restrictions when applying to a business school. As for scholarship programs I cannot be certain. Each scholarship has its own rules and qualifications and it would be best to look into each individual one that expresses interest as you find them. With that being said, do not worry about being 35 and going for your MBA, that is not a problem at all. Good luck!
Sincerely,
Evan