Whoever initiated the first date should initiate the second?

So I asked a question about a “date” yesterday and got some excellent answers. But now I’m curious…

So is it a basic rule that whoever initiated the first date should initiate the second?

Also is it true that men should do the pursuing? If he doesn’t pursue you, he isn’t interested?

You can read my previous question but I, a female, asked a guy I know “out”. We got lunch and He made it seem like a date, but two weeks after the first “date”, I haven’t heard from him. So I’m just curious to the basic rules of dating… I’m new to this stuff