Yes and no — there has been a lot of discussion on this forum about rarefaction and the arguments for/against, see this post for a nice collection of those topics:
Those are implemented in QIIME 1, not QIIME 2
Yes! q2-perc-norm is a QIIME 2 plugin! You can see the QIIME 2 plugin library to see these and other plugins (some of which use alternative normalization techniques, including @mortonjt's methods)
Microbiome data normalization and differential abundance methods are very active areas of research, and of debate.
It is hot! Best of luck and any new methods you use/implement please consider adding to QIIME 2!