Here's the layout for Mission 2:
Head east from the Ranger base and a lady will beckon you to follow her. She leads you to a building on the east and apparently a box block the door to her room. Go out, find a Makuhita, and use its Tackle ability to clear the obstruction. The lady enters the room, only to find a Venonat which detests her. You capture the Venonat and set it free, and completes your task here.
The next thing to do is to find a woman find her 5 lost Skitties. Here are the location:
1) Roof top of the building in the east where you've just been.
2) In a house to the Northwest of the city. One will be pretending to be a plushie.
3) Go South, one will be just around the fountain area.
4) Along the market street, you will see two trash bins. Capture a Snubull to tackle one and the Skitty hiding inside will jump out.
5) From the fountain area, head east, and there will be a road sign which blocks your way. Cut it down with a Meowth, and the last Skitty will be in that small area at the end of the alley.
I included the preceding mission in case some of the directions seem lost.
Hope this helps.