Well Shroeder doesn’t use any facts from either science or the bible, and to me he has to explain away:
Genesis 1:5 (King James Version)
5And God called the light Day, and the darkness he called Night. And the evening and the morning were the first day.
And
Exodus 20:8-11 (King James Version)
8Remember the sabbath day, to keep it holy.
9Six days shalt thou labour, and do all thy work:
10But the seventh day is the sabbath of the LORD thy God: in it thou shalt not do any work, thou, nor thy son, nor thy daughter, thy manservant, nor thy maidservant, nor thy cattle, nor thy stranger that is within thy gates:
11For in six days the LORD made heaven and earth, the sea, and all that in them is, and rested the seventh day: wherefore the LORD blessed the sabbath day, and hallowed it.
There’s actually a number of problems with Schroeder’s assumptions- http://www.answersingenesis.org/docs2/4355news8-1-2000.asp
Schroeder actually addresses your first point in the article on the above link. Concerning Day One, he says:
Nachmanides says the text uses the words "Vayehi Erev" - but it doesn't mean "there was evening." He explains that the Hebrew letters Ayin, Resh, Bet - the root of "erev" - is chaos. Mixture, disorder. That's why evening is called "erev", because when the sun goes down, vision becomes blurry. The literal meaning is "there was disorder." The Torah's word for "morning" - "boker" - is the absolute opposite. When the sun rises, the world becomes "bikoret", orderly, able to be discerned. That's why the sun needn't be mentioned until Day Four. Because from erev to boker is a flow from disorder to order, from chaos to cosmos. That's something any scientist will testify never happens in an unguided system. Order never arises from disorder spontaneously. There must be a guide to the system. That's an unequivocal statement.
For now we see through a glass, darkly; but then face to face: now I know in part; but then shall I know even as also I am known. - I Corinthians 13:12
(I'm heading out now, but I look forward to reading your reply!)