Well, you have a frame rate problem.
Some of your footage is 23.98. So if you are working in a 23.98 timeline, your output shoud be 23.98 (choosing the 1080psf23.98 ProResHQ easy setup will do this for you).
If you are adding 29.97 matieral to your 23.98 timeline, it will look funny. You need to convert your 29.97 to 23.98. You can do this with compressor with varying results, or you can send it out to a place that will hardware convert it for you with something like a Terranex.
On the other hand, you can put your 23.98 material in a 29.97 timeline and FCp will add 2:2:2:4 pulldown. It will again, look funny, but at the end of your edit you can add proper 3:2 pulldown with a plug in like Fields Kit. That works great. If you decide to go this route, your output should be set to 29.97. Basically, whatever frame rate your timeline is in is what your output should be.
Jeremy