This is AD&D core rules. Unsure what if anything is changed in BG2.
In any given combat, all of the participants have to roll an X sided die (it says 6 in the rulebook, but I believe it's different in BG.) Lowest roll goes first move. Next lowest gets second, and so on and so forth.
Initiative itself is a random number. However, with spells (like haste) and other factors, you can floor it. I don't believe the -2 modifier has anything to do with the other part though: they're separate parts of the same spell.
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