I'm not sure if it's grammatically incorrect but A2 is definitely more awkward. Use A1 in all situations unless you reverse the order of the words, i.e., "use of articles" would become "article use", although that still sounds a bit awkward.
B1 and B2 have slightly different meanings, depending on the context. They are somewhat interchangeable but generally you will see them used like this:
B1's wording implies that Vancouver has some inherent property that renders universities amazing. If a new university popped up, it would be amazing.
B2's wording implies that you believe every specific university in Vancouver is amazing. If a new university popped up, it wouldn't necessarily be amazing.