I have heard claims that a Pa would hold out better against cannons than European forts, is this true?
Bonus questions:
-How advanced were the weapons used in this war compared to weapons used in Europe at the same time?
-Was the logistics of moving the heavy equipment through forest a major difficulty?
Maori Pa built prior to European colonisation were, unsurprisingly, not very effective at defending against European weapons. They were built to keep out enemies wielding hand-to-hand weapons whose destructive power are all far less than that of a cannon.
The most obvious support for this claim is that Maori quickly changed how they built their pa - Ohaeawai and Ruapekapeka were specifically designed to combat the Crown's forces.
These "modern pa" did stand up pretty well to cannon fire. At Ohaewai, the Crown bombarded the pa with artillery over a week before sending in an assault party, which was massacred. Ruapekapeka stood up to a similar bombardment, but was eventually breached by a massive, concentrated assault on one of the palisades (interestingly, it was almost entirely abandoned by this point).
Unfortunately I don't know what European forts of the era were capable of withstanding. However, given that Europeans were far more used to artillery than Maori, and had access to more resources (Ohaeawai and Ruapekapeka being made primarily out of wood), I would guess that European forts were better.