For all these reasons, if etruscans once lived where you live now, it would actually be rather surprising if you had no connection whatsoever to them.
There is no evidence that Etruscans ever lived where the OP does now. All evidence we have about Etruscans points to a people living in the Mediterranean region, not further north in the Balkans. Note that although the article here is about a linen book in Zagreb, the Zagreb Museum was only the final resting place of an artifact created elsewhere; it does not mean that Etruscans had anything to do with the Balkans.
BTW Serbia is not really "north" in the Balkans. But still, it's pretty far away: on the opposite side of the Adriatic see and of the entire Italian peninsula (etruria is on the tyrrhenian coast)
This is inaccurate. The ancestors of the Slavs spring, according to the consensus view, from around where Ukraine, Poland, and Belarus meet. So, very far from Venice, let alone central Italy. We have attestations of the language that was actually spoken around the Venetic region[0], it is not Slavic. Why the early Slavs were often labeled with an ethnonym resembling Veneti is a complex affair[1], but it does not mean that the Slavs had any meaningful contact with central Italy.
[0] https://en.wikipedia.org/wiki/Venetic_language
[1] Michael Weiss, “Veneti or Venetes? Observations on a widespread Indo-European tribal name”, in: Farnah: Indo-Iranian and Indo-European Studies in Honor of Sasha Lubotsky. Ann Arbor: Beech Stave Press, 2018.
And then there are also excellent arguments made in other comments.