Do moral facts exist or is it all relative

This is incorrect. There are absolute truths in this plane, such as simple arithmetic: 2 + 2 = 4.
Just because someone else believes it equals 5, does not mean that it is true. It may be their perception of truth, but it does not mean it is correct.

As for moral facts, I do not think we can come up with a list of principles that adhere to everyone.
The grade of personal morality is too tied to the development of the inner self or conscience, which renders assimilation impossible.

For example, if we were to say that "killing is wrong" is a moral fact, a murderer would not follow this. His moral compass is so skewed that he does not see the wrong in it.