Yeah this mission shouldn't take longer than three to four days in total. I came up with the details on a whim so admittedly I may not work out every hole since this is just a tutorial arc at best. Social gatherings will come and a festival could happen, I feel like maybe it's a little too early to have a festival though, so a social thing is totally doable. Maybe with all the Jonin and the various Genin doing some kind of activity or just having a get-together to celebrate how far they've all come since their days at the academy? 

Sakura and Kakashi can spar for a longer period of time but it would mean that that town I mentioned between Konoha and Tanzaku would have to be skipped so they make up for the time. If Sakura is willing to sleep outside for the night Kakashi is more than willing to dedicate more time to stationary practice, something they can talk about on the way.

Washing your face shouldn't be made sexy xD I know Kakashi isn't taking a full-on bath. In town she could probably wash up!