Yay! I'm vegan too so i'm really pleased to see more vegan options coming to the market. Do share your page(s) when they're up and running and i'll be sure to follow.
In terms of insurance, you need to have professional insurances to cover you. What you need depends on what services you offer really.
As a bare minimum you need professional Indemnity insurance. This should cover you if, for example someone had a reaction to one of your cakes or if you weren't able to fulfil your contractural obligations and someone got funny about it. For example, you were in an accident on the way to deliver the order and couldn't fulfil it and they tried to claim that it ruined their day and wanted compensation. There are usually add ons you can opt for, like legal cover etc some policies include this as standard.
If you will also be doing anything like delivering wedding cakes, delivering to peoples homes, having people visit your premises to collect or if you'll be selling at markets etc you should also have public liability insurance. This'll cover you if for example you left something on the floor at a wedding venue or market and someone tripped over it, or if you accidentally caused damage to someone elses property in the course of your work.
If you will be delivering often, you may also need to add business use to your car insurance policy as that only covers fixed places of work usually.
If you have high value equipment you may also want to think about equipment cover insurance as a lot of home insurance policies wont cover items that are used for business purposes, but generally it's only worth it for things that cost more than £1k ish i've found, depending on the excess on the policy.
If you have any colleges locally to you, keep an eye out for free courses that they offer (sometimes online, sometimes in person) as my local were offering free food hygiene certificates recently for completion of the course. Which is always worthwhile and it's an qualification, free!
Lot's of "If's" there, sorry!