Yes, you can sell a character in the Character Bazaar and follow the rules. You will have to pay the transfer fee of €20 or 1000 PLEX (via GM, Support Ticket). It is possible that there may be some difficulties since your account is created by STEAM.
Any items that comes along with the DLC can be traded freely like any other items, but the GameTime applied to the account on purchase will not (this should be obvious).
I think you should consider to bypass STEAM altogether since there are some things that EVE’s Customer Support can’t help with because it’s through STEAM and their Customer Support are significantly more difficult to get help from.