Hello Arkady, and welcome from the "North Coast". It's been awhile since I last visited your beautiful city, but one thing I do remember is how "safe" we felt walking around (past midnight) on Halloween.
We own pretty much identical cars, but ours has the "cedar" interior. Just so you know, we've got 20k on it and still no problems. 1st. gear seems to operate better as the trans. warms up, and the miles add up.
Do you plan on driving yours year round? We park ours during the winter months.
Did you find a "brand new" '04, or did you buy one with some miles on it?
Enjoy the forum, I don't think that there are any questions about the Crossfire that you can't find the answers to here. Good Luck and enjoy.