"Thinning the blood" is not a precise term. I hope johnwen sees this because you say you are prone to bleeding, and that taking Ascorsine 9 seems to have promoted the bleeding. This smells like a reaction or interaction with the drugs that you are taking that interfere with clotting.
So given the large number of ingredients, you might be wise to slow down on the Ascorsine 9 (reduce the dosage) and rely on vitamin C and lysine until you have the bleeding issue resolved.
Vitamin C and lysine (and proline) should make your arteries stronger, so long as you are able to produce collagen normally. This usually reduces bruising.
If you still bleed easily, then you need to find a doctor who understands the effects of the drugs you are taking. Sounds to me like they are interfering with your blood's ability to clot, creating in you something akin to a hemophiliac
Can you should list the drugs and the dosages?