If your talking about the new update whereby you can change your characters display name then, I don't think you can remove it.
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Go to "Edit Icon" and pick your icon.
save the image, right click and choose properties, change icon, browse for the picture
Yes you can. Just click the box icon button and they will disappear.
You can not change the team object's icon in the explorer window. If the icon looks strange, try restarting Roblox. If that doesn't fix the problem there's probably nothing you can do about it other than hope the next Roblox release fixes the problem.
Change the image URL in one of the properties in the tool. The name of this property has "Gui" somewhere in it...