"Today is February second."
It should be the largest unit of time to the smallest, year/month/day/hour/minute/etc.
Pretty much only the US uses that format. Japan actually uses year month day format. To make it more confusing they use 2 different systems day to day. There's the Gregorian calendar then there's the imperial calendar. They starting from the year the Emperor was crowned. As an example, in the 10th year of the Showa emperor would be Showa 10.
I always drop "ha" after dates and leave a small pause, unless I really want to emphasize TODAY! My Japanese must be very loose these days :)
Also, there needs to be the particle "no" in between the month and the year. The month "possesses" the day in Japanese.