Goodness, that sends a shudder through me. They are still very young.
Not something I would do, I won't even leave my 15 and 16 yr old home alone at night.
I would think that the kids safety is a little more important then some guy (and a bit of nookie).
That may sound a little judgemental and harsh but I do think 10 and 13 is far to young to be home all night alone.