I think we can surmise "yes" to both these questions, because Bia had the boat three days before running the batteries flat. If either the fuse was blown or the main switch OFF, none of the electrics would have worked.
SO given ten hours of engine running I think we can surmise the domestic alternator is goosed. Task now is to find out why.
Oh, a thought.
Starting the engine and just running it at tickover might well have not energised the alternator. Revving it up to get it charging is usually necessary. If this was not done, the ten hours of running yesterday could have been pointless as the alternator might not have been charging.
So, back to Jen's question about what Bia is looking at to know that 10.1 figure....