Don't put Facebook tracking on sensitive pages. Actually as a service to your users don't put it anywhere where it doesn't add value.
> 2. they are triggering potentially harmful and/or confusing actions in your website by repeating links
They only perform idempotent[0]* requests which should not have any negative effect if performed multiple times
0: http://restcookbook.com/HTTP%20Methods/idempotency/
* They probably only actually perform GET in reality