The stains almost look like coffee too me??? I agree with others as to finishing the quilt (if that is your intention vs just having the top displayed?) before doing a thorough wash. You might have success with small stains with just some mild dish soap/water (dawn comes to mind) and a clean cloth and wipe/gently rub those spots only with the soap/water and see what happens. The dawn at least won't do any further damage to either the stain or the fabric.