I have a stand alone embroidery machine. I hope my suggestions help you.
In the bobbin, I use thin BOBBIN THREAD or in a pinch Maxi Lock thread. If your bobbin is pulling to the top, your needle tension is too tight. When doing embroidery, you do not want tight needle tension. My tension is set to a 3 and sometimes 2 1/2. If the embroidery design is dense, I do slow down my machine.
You also may try using a second piece of stabilizer behind the project.