As stated, the white hairs in the colored patches indicate sabino, color on the sides of the face is a tobiano, white down the face can and lack if color over her lower body/belly as well as the blue eyes may indicate splash and or overo. The only truely nessicary thing to test for is LWO (lethal white overo) since, as already stated, if she is positive you never ever want to breed her to a LWO positive stud. If she is negative, you can safely breed her to any stud of your choice, no testing needed on the stud unless it is for your own curiosity.
All other testing is just to satisfy curiosity and find out if she is heterozygous or homozygous for a trait. Homozygous means she will always pass a copy on to her foal.
Lovely girl!