So you are asking if bloodlines have influence with your magic power.
There has been a common belief in Generational Magic that dictates the older the bloodline of a practitioner, the more psychic ability or magical power they have.
In actuality, it is the individuals focus, concentration, level of awareness and dedication that determines spiritual strength when performing acts utilizing spiritual power.
We are all born with the natural instincts of alertness and premonition, just as we are all born with the ability to suckle for food and comfort. There is also the common denominator around children using visualization through playful imagination.
Not only are bloodlines not fundamental for gaining magic abilities powers, they're not even related to said powers.
Your bloodline is your physical, genetic lineage.
Magick is about your Will, your energetic development, and your karma.
You said you did not manage to do any spell, this is not because you do not have the proper blood line, this is because you have not done the spells properly or the spell was fake.
I would recommend you to learn the basics such as energy work and meditation because you start spell craft, maybe that is why you did not manage to cast your spells. Practice for months and years. Read in the internet about casting spell properly. See how to cast circles, get supplies and see if a spell is fake or not. After you learn the basics and practice about energy work and meditation go a head and cast spells.
The past of your family will not matter.