Y-haplogroups are passed from father to son, without recombination with the mother's DNA. Only mutations can change that part of the DNA, so if two people have the same Y-haplogroup they come from a single male ancestor along the paternal line. On the other hand mt-DNA is passed from mother to child, so it goes through the female line, unchanged except for mutations. People with the same mtDNA have one female line ancestor in common, the mother of their mother's mother's mother's...... mother.
Y-DNA and mtDNA haplogroups aren't usually in pairs because for the most part men stayed with their tribes, while women relocated to their husband's tribe/territory. That is why Y-haplogroups are more reliable for understanding migrations of tribes or cultural groups (linguistic, religious, etc), rather than just individual movements due to marriage arrangements.
As for Albanian Y-Haplogroups, they aren't as diverse as you think. There's R1b and J2b2, who most likely brought the indo-european language that later developed into Albanian, and there's E-v13, which seems to have expanded into the Balkans earlier. These three account for more than 70%. Together with G2a, and J2a in Greece, they probably made up most of the ancient populations of Southeastern Europe, who also did not belong to single haplogroups but different combinations of the ones I mentioned.
You mentioned the Dacians: we don't know for sure yet, but it is likely that they had much more R1a and I2a than the more south western populations such as the Greeks and Albanians.
