When both my vintage machine and my expensive machine were in the shop I was using a lightweight low-end Brother comparable to yours and it was doing great making masks and doing basic sewing tasks, but piecing on it was like chasing a loose dog.
First I tried a bit of rug backing under the base which wasn't enough. Finally I took big strips of blue tape and I taped the machine down to my work table, going from the under the front of the table, and then folding it up and over the bed of the machine and down the other side.
For a small project with lightweight batting like a crib quilt, I could see doing that on my Brother. But it is simply not made for heavier/larger projects. There are Brothers that are, but your model is more for light weight clothing construction, hems and repairs and things like that. You can certainly learn to work around your machine's limitations, people can do marvelous things with a Featherweight for example, but your model is just not meant for decades of heavy use.