Product Design Grad School At 33

[Brewhaha 0]

I need some advice.

 

I have a degree in graphic design and I'm interested in becoming a product designer. I'm 33 and I'm looking into grad schools.

 

1)Do you think it's necessary do go to school to become a product designer or just have a great portfolio? I have great drawing skills -

 

2)Are there grad schools that teach product design or do you think I'll need to get another undergrad degree in product design? - That is, to get hired as product designer.

 

3) What's the entry level job title? What are the entry level jobs you look for?

 

Thanks in advance!