It's a casual slang word for a woman (usually a young woman). It doesn't have any other implications, but it's most commonly used by men when they are talking to other men about a woman.

うち is a home. A place where someone lives and belongs. It could be a house, apartment, or any other building. いえ is a house and refers to the physical building. The building could potentially be empty without anyone living in it, in which case it would not be anyones うち.

I would say: Is everything finished?

It depends on what you are expecting. If you are expecting the outcome of an event (like the results of an election) then you can refer to its as "the news". If you are expecting some specific information about the person (like their telephone number) then you can use "your information". Also, using expecting in this scenario is not common. It would sound better to say: I am waiting to receive the news from you. or: I am waiting to receive your information.