Doctor suggests taking fish oil and acetyl L-carnitine arginate with alpha lipoic acid for nerve damage/cardio health, will this thin the blood much?

Thinning the blood. Fish oil, alpha lipoate and acyl carnitine would not cause a significant tendency to bleed or think the blood, even if they are taken together.
No worries. Your blood should be as thick as the Cherry Milk Shake from the corner Dairy Queen or McDonalds if you have either one of those wonderfully healthful restaurants in Poltava Oblast (sounds like a place Steve Martin would like to party with someone, huh?) Anyways, go for it under your doctor's direction. I say it's worth a shot as opposed to prescription medication at your young age.