Is "CMYK Web Coated SWOP v2" the right profile, the one specifically given to you by your print service? If you don't have a print service, how will it be printed instead?
I see convert to destination and no color conversion?
InDesign lets you mix objects with different color modes on the same page (RGB, CMYK, Lab, and Grayscale). If you chose No Color Conversion, all of the object color modes will export unchanged and the Profile Inclusion Policy choice determines whether color profiles are included with the native color and linked graphics.
If you choose Convert to Destination and set the Destination profile to Document CMYK your document's CMYK colors and swatches will export unchanged. RGB and Lab colors and links will be converted into your document's CMYK space using the assigned CMYK profile. Linked grayscale values will export unchanged.