Oooh that lasted a full 10 minutes before an almost perfect answer....Yes....it is Eowyn who although she deserted her post fulfilled her chosen duty to defend the king. L7 belongs to 8 but the 2 do refer to her falling in love with Faramir.
5 and 6 you have interpreted wrongly - Theoden did not know she was dead and Eomer is not the kinsman I am thinking of - the incident is quite specific....
Anyway do go ahead and set another question