There a few halachic problems with cooking eggs, chicken, and pork.
Firstly, the torah prohibits the eating of pork since pigs, despite having split hooves, do not chew their cud.
Secondly, the chicken may be a kashrut issue if it is not slaughtered and salted according to Jewish law.
And finally, if one puts milk in his scrambled eggs or uses butter (or any other dairy product), one violates the prohibition of cooking (and likely eating) dairy products and meat together.
However, even though "thou shalt not seethe a kid in its mother's milk" (Exodus 23:19), there is actually no prohibition to eating a mother in its baby's yolk.
So for those who would like to prepare the above in a kosher environment, simply use margarine, glatt chicken, mock pork (or just switch to beef) and you're set.
Bon appetite