It's actually better than what you suggest in the second paragraph of your question.
You're the owner of the copyright in the entire software package. (Let's leave patents to one side, because they unnecessarily complicate matters here).
It is your personal property. You own it. You don't need permission to use it.
You've probably heard that intellectual property rights- including copyright - are "negative" in nature.
That means that everyone else needs permission to use your software. That's all the license does: grant a permission to others to use the software, and any conditions of that permission. So much so, that when you read the word "license" in this context, you can read it as the word "permission".
So that means you can licence version 1 to different people using the GPL, Affero, any other open source software license or using a proprietary license. A different license for each person if you want. Any licence you like. It's up to you.
Likewise, with version 2. Choose a different license for different people. Depending on the colour of their hair if you want. There's no implicit or implied licence between version 1 or version 2. That's because it's your property.
There's an explainer on software licenses that covers this in more detail if you're interested here: https://hallellis.co.uk/blog/software-licences-explained/ (disclosure: I wrote it), with some licensing tips. It might clear up some misapprehensions.