It is a parallel and I think they did the right thing with how they went about it, it's a fantastic movie that I enjoyed the hell out of. I have high hopes for the next one and I think it will kick off where this one ended in a big way.
However, my issue is less with the plot than it is with how much they relied on nostalgia from the originals which made some scenes feel underwhelming because all I could think is "I've seen this before". That's not to say every nostalgia moment was like this, there were plenty of fresh new takes on old moments that I loved.
This is gonna be longer than I planned but I guess I'll list some examples.
First the good followed by the bad.
Bad:
And another bad just for good measure.
That's all for now lol, sorry for the wall of text.