You can register company under provisions of companies act 2013 for carrying on door step services 

2)you have to register your trademark 

3) you need to mention terms and conditions for using your website, privacy policy etc 

There are no as such government permissions you can register a propritoership firm make such agreement with the service providers.

Further you can take PAN and GST number.

1. There is no special permission required from the government machinery to be taken to start this business.

2. You require the regular formalities to be completed like taking of trade license, GST Registration, formation of company etc.

First incorporate a corporate entity, such as a Pvt. Ltd. Company or a LLP. Get registered under the GST regime. Open a current banking account. Get registered under the local shops and establishment act. Better you contact a local Lawyer who has helped start ups with their setting up.

If you are registering your company then you may have to have a office, licence to run the business from the local civic body.

If you're employing personnel then the necessary issues like PF and ESI as per rule or law should also be taken care.

Take the help and guidelines of a local consultant

No need for any permission,  only you have to registered your company and you have to register your trade mark. 

You require shop and establishment licence and pan no.  Online website doesn't require permission.  Only permission require depending on service provided by you.