Air Tahiti Nui (TN) is a partner of AA and so you can redeem AA miles; it is not a member of oneworld or a BA partner so you cannot redeem avios.
AA Miles Award: TN / Air Tahiti Nui award redemptions (master thread)
Hawaiian (HA) is a partner of AA and you can use AA miles for redemptions within Hawaii and from Hawaii to other places HA flies but not to the US; as noted by Calum you cannot redeem avios on HA.
Earning and Redeeming AA Miles on HA / Hawaiian Airlines (master thread)