Sole proprietorship business while working in an mnc

Hi,

I have multiple queries on starting a business as Sole Proprietorship.

Background: I am a regular and permanent employee of an MNC but I also want to start a small online business, I would mostly be selling items via Amazon, Flipkart etc. After some research I finally found that I can get myself registered as Sole Proprietor.

Queries

1. I am asked to provide my PAN number for getting registered. Do you think it could create issues if I provide my personal PAN for doing this business. Could it create any misunderstanding in future? I file my IT for the income that I get from my job using this PAN.
2. Would I be eligible for selling items via Amazon/FK once I have registered as Sole Proprietor and obtained GST number or there are other requirements before being able to sell?
3. I live in a rented house in Bangalore and have no office, would there be any problem in getting registered and getting GST number?
4. Do I must use some services or CA to get registered? Is there no way that I could do this myself? If it’s possible could you guide please.
5. Even as Sole Proprietor do we need a business name?

Thank you in advance for your time.