I work for a private car lot where we get financing for our clients, I sale 3 cars per week not including what we dfrom internet I do not receive any profit from that. My pay is 150 base per week and 125 per car delievered the average deposit on a financed car is 1000.00 we keep about 60 cars on the lot with 3 salesman the owner , 1 finance guy and myself, I think I'm being under paid for this industry our avarage car sale is 8k plus all the finance $$ they make should I be getting a better pay rate, nor am I allowed the use of a car (I don't own a car) what do you think

I think without knowing where you are it's impossible to say.

I am also aware that car dealers receive "kick backs" from the companies that provide the financing. How is that divided?

This is their deal, so if you don't like it, go work somewhere else, or ask for more pay. Most people think they are underpaid, some car lots will pay more, some pay less. Many sales people don't make a penny if they don't sell a car, you get a base if no cars are sold. So sell more cars, sorry but one way to make more money.
Also not knowing how much they pay for the cars

Most sales people at buy here pay here type lots don't get a car to use, many of the new car salespeople who make high numbers get a car at a dealership.

If your dealer is only selling three cars a week, I can't even see how they are staying in business.