As long as you get good lawyer, and prove that you have gene/DNA of your father ... he is your father even if you don't have birth certificate ...
you mom same way, if there is proved that you have gene from your mom, she is your mom ... and you are the one can prove that they have a relationship ...
In law, you have a better chance to get some 遺產, if your father does not have a special will .... you are the son/daughter, no doubt with proof.
But your mom, may not be the licensed wife, if there is some other lady registered to be the licensed wife.
The logics is you have a higher chance to get some 遺產.
Talk to your lawyer, they know how to take care of you :)