Hi,
I would say the decision is entirely up to you. Learning anything over the internet requires the ability to self access and decide when to move on. There is no right or wrong answer. I am currently at the same stage in the fundamentals as yourself and have decided to learn a couple of the the recommended made easy songs that have happened to pique my interest but feel no obligation to do so. The songs learnt in the 5 Chord Power pack provide a pretty solid foundation and the additional songs are not going anywhere, so there is no harm in moving on if you want to
.
As for when to learn fingerpicking, I presonally am just following the flow of the fundamentals lessons as to not get overwhelmed. But yet again there is no right or wrong answer. If the music that has inspired you to learn guitar is heavy on fingerpicking there is no reason why you couldn't look at some of the lessons with those techniques and dip your toe in.
Hope this helps a little.
Best of luck!