Okay, the first thing you will need to do is get your chore at 8am then advance the time to 10am. Give your chore to Veronica and send her to your room at 12pm. Bend her over your desk. After that, if you look at your hints for Veronica, you'll notice that you have to ask her out. Try asking her out, but it will tell you that you need a tux first. Go to the mall and into the clothing store. The tux will be unlocked, so now you can buy it.
Advance the time again to 17:00 on a Saturday or Sunday and ask her out again. Now you've discovered a new location (the restaurant) on your map. Unfortunately, there's one part of the date you won't be able to do yet because you don't have enough stars. You need 17 but you only have 15. Which means there may be other things you need to do with Veronica first.