Sup.

1) You need a new map. I reckon at least 800km. (Note: Take the ferry from Bøjden to Fynshav if you want to save some distance.)
2) Less than a couple thousand dollars.
3) Both are better than northern Germany / southern Denmark.
4) Properly? Like the Queen's English? Or do mean at all? (Half the fun is when they don't.)
5) Yes.
6) I wouldn't worry about robbery. You might get kicked off the land. Don't start a fire.
7) Depends on your credit card limit.
8) Get a map. Danes seem to enjoy turning bike route signs around. Any 1:200000 map or better should do.
9) Huge variety here. Do some test rides?
10) Bring a phone. A radio won't do you much good if you don't speak Danish, German, Dutch or French. (Edit: Unless you mean to use it for listening to crappy Euro music.)