@Arloony you can quilt with any machine. But not all types of quilting or sizes as mentioned.
My machine is a Brother se400 which is sort of a ¾ size machine. I can with effort and careful execution do about a twin bed size.
A walking foot is good for long straight lines, especially parallel ones. My WF has a little guide that adjusts to help with spacing.
A free motion or embroidery foot is needed for free motion. FM is basically everything that isn't straight lines.
The ¼ inch foot is for piecing the quilt blocks and a few other things. Maybe you want to quilt around the edge of blocks.
If your machine doesn't drop the feed dogs as you suggest it probably came with a plate to cover them. What does the manual say? I checked the manual. You have to order a darning plate to cover the feed dogs. Page 4 in the manual. Should be able to order one from a dealer.
If you're new to quilting I can't suggest a small test piece to learn on strongly enough. Either a placemat or doll quilt size, or, Haha, a nice doggie quilt.