The Warg should be able to be picked up by all of your characters...regardless of who "purchased" it. As for your, Honey Badger, he'll only be able to be sent to your other character (via your shared bank account or just send mail to yourself) as long as he hasn't been bound yet. Once he is bound to a character, there is no removing him unfortunately.
For the record, other companions not purchased through the Zen shop DO have a way of being unbound and traded/transferred.
I have a high lvl character I bought the Warg mount and Honey Badger Companion. Can and How do I get them on my New Character?
Assuming you bought the mount from the Zen store (account wide unlocks) and not from the AH (character only unlock) you pick it up at the Zen Mount Vendor. It will have a 0 Zen cost for you.
I don't think Companions are account wide unlocks.
Comments
Many purchases are per character, very few are Per account outside of the larger packages.
For the record, other companions not purchased through the Zen shop DO have a way of being unbound and traded/transferred.
Assuming you bought the mount from the Zen store (account wide unlocks) and not from the AH (character only unlock) you pick it up at the Zen Mount Vendor. It will have a 0 Zen cost for you.
I don't think Companions are account wide unlocks.