Evert-Red-Jaguar For your company you have to take out a separate subscription. You can open a Pack, then you can combine a maximum of 4 Premium or 1 Business and 3 Premium subscriptions for a total of 20 euros per month. That is more advantageous if you can find 2 others (see here: https://together.bunq.com/d/561-sharing-the-bunq-pack_1 ). You can of course also join others.
If you start a Pack yourself then it can be useful to put this on your company so that you can raise it as a cost. If you open the Pack on your personal account, your company will receive a 0 euro bill for the subscription plus any additional costs.
you can change the names of your accounts yourself in the app, but that is only for internal use. You can set the "legal name" that is provided to third parties when you transfer money. For a person that are some variations on your name. So First name Last name or Initials Last name. For a company these are the trade names that are known at the Chamber of Commerce. However, you can only set one name and that applies to all your accounts.
On a pass you can also choose which legal name or trade name will appear on the application. You also have a rule with a (small) number of characters where you can enter a description. This is also the name that is used everywhere in the app and you can not change it later. I have seen several topics from companies with 'long names (I believe more than 20 or 25) who then complain that the rest falls off. Keep that in mind.