My first machine was a Brother. I think you should have no problems doing the piecework on that machine ... And it would be a wonderful training exercise to teach your foot how to behave on the pedal and how to adjust tension and control bunching. I think when it comes to the quilting the machine would be overwhelmed but you could certainly make the top.
I would be concerned about starting a hand sewing project of this size...it seems a recipe for failure/ UFO/ unfinished object but that's ME and not YOU. You do you! I'll be over here with the pom-poms cheering!