Realms act totally separate from battle.net. When your in a game, you're not using battle.net (per say).
In the same token, you can not sign into a realm with the same name.
It is possible to transfer your own items with yourself as long as you have 2 keys and a way to load 2 instances of the game (d2loader, two computers, etc)
Once you log in to b.net with Name1, you choose your char Name1.blah1 and make a game. Technically b.net doesnt care about you at this point, rather the realms takes over. You can now sign into Name1 again and enter b.net as normal, but you cant choose Name1.blah1; but if you choose Name1.blah2-8, it will work fine (in game, not battle.net channel)
On a side note, dont search for the same names on 2 different accounts... thats just redundant - and will cause issues like this...
Hope that sums it up