Songs Are There, But Playlists are Gone

I just bought a new laptop. I think I FINALLY have my music all on here, (and in fact most of my songs were duplicated, and some were on there three times) but my playlists are gone.

I followed the instructions here:

How to move your iTunes library to a new computer - Apple Support

to get my music over, but my playlists didn't come with it.

So then I found these instructions here:

About iTunes library files - Apple Support

I found both of those on my old computer. However, the most recent update I can find is 2013. I KNOW I have updated my playlists since then. I don't want to cause any problems with the music I just transferred over, nor do I want my playlists from 2013. I had some really strange issues with iTunes on my old computer, and I can't help but wonder if that's part of it. So then, in doing a bit more searching, I found files with a similar name, (it just had a date attached to it, and I think I did that, to "help" me find my right library at one point in time) and they had the correct date on them. So I tried to transfer those, but still no playlists. I am transferring FROM a Gateway running Windows Vista and transferring TO an HP Spectre running Windows 8. At this point in time, it it best to just call it quits and re-make my playlists from scratch? I'd rather not, but... at this point, I'm wondering if I have any options.