I would not expect to see in game Eve Mails integrated into these forums. At least not anytime soon. You can access your evemails here: https://gate.eveonline.com/Mail/Inbox, or using any of a number of cellphone applications written by third parties.
Regarding the avatars you can use this third party script [UserScript] Avatar Size & Sub-Category Adjustment to increase the size of avatars on your client.
Hope this helps.