Chances?

1040 GRE
630 Quant 150
410 Verbal 147 horrible with verbal

3.05 undergrad gpa
3.5 grad gpa

5 pre-req courses until December hopefully a 3.4 gpa

Recommendations:
1 Director of my undergrad department
1 Director of my graduate department
1 Ph.D thesis professor
1 Veterinarian from veterinary hospital

2000 volunteer hours at veterinary hospital

terrible app to get rejected by SGU?

I'd say you have a pretty good shot (only because your GRE and GPA are higher than mine were and I made it)