Hi,
No. 1
M: What a lovely day! Let's go on a picnic.
F: I'd rather stay home (home is an adverb; at is redundant). I don't feel like going out.
M: I didn't expect you would say so. What's wrong?
F: I don't know. I seem to have a headache, apparently.
No. 2
M: Hello, and welcome to Takaoka. What brings you here?