Welcome to the Forum! I think you'll find it's an enjoyable and informative place, with lots of interesting and helpful people whose interests and knowledge vary tremendously. Some of us are pretty weird, but, generally speaking, we're relatively harmless.
I'm afraid I'm not going to be able to help much with these particular rigging questions, because I don't have the rigging diagram. My first inclination when I was reading number 1 was that the lines in question were the jeer tackles, but you seem to have ruled that out. My best guess is that they're what was known in the English navy as masthead pendants. In English practice the pendant was a heavy line (the same diameter as the lower shroud) seized around the masthead, with a large single block or thimble seized in the lower end. A heavy tackle rigged to that block or thimble was used to tighten the lanyards of the lower deadeyes. When not in use for that purpose they were, in English ships, generally stowed away, but sometimes the lower end of the tackle was hooked to an eye in the channel. The lines you've described sound like they might be a Swedish variation on the same concept.
The gear for hoisting the topmasts was known collectively as the topropes. Again, I know next to nothing of Swedish practice, but according to James Lees's The Masting and Rigging of English Warships, 1625-1869, English ships did leave their topropes set up most of the time. I imagine Swedish ones did too. In the case of the Wasa, since she was on her way out of the harbor on her maiden voyage when she sank, it seems reasonable to suspect that she kept her topropes set up throughout her seagoing career - such as it was.
I've never had the good fortune to visit the Wasa. I was most interested, though, to read the short piece about her in the latest issue of Ships In Scale magazine. It seems the researchers at the Wasa Museum have been doing some high-powered research about her color scheme, and have come to some rather surprising conclusions. They are now convinced that the upper sections of the bulwarks, which are generally depicted as a beautiful, indigo blue, were in fact a deep red. And the majority of the carved figures, instead of being gold-leafed, were painted in natural colors. If I had built that excellent Airfix kit prior to reading that article, I probably would be considering hari kiri at this point.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.