hello Rebecca - welcome to the GMB

Am sure these 'marks' are scratches, unfortunately - and looks as though you will have to wait until someone recognizes this particular shape/design. Much glass from Scandinavia is signed/marked.
On the other hand your label is recorded in the books, and described as a 'black and gold cellophane label with a crown'. It's unreliable to try and date pieces without specific signatures or date codes, and with a factory such as Kosta their output was truly vast and varied, so again recognizing the pattern may be the only way of dating. Having said that, this tapering, simple shape was a common feature of Scandi glass from the mid 1950's and the 1960's, and this a likely period of manufacture for your vase, although it could well be later.
fingers crossed someone will recognize your piece.