Absolutely. Please make sure to have AT LEAST 10% of the trailer's gross weight on the tongue, though, in order to prevent instability. Most people usually shoot for somewhere between 10% and 12%. Some even go up to 15% - but don't go over that.

You should be fine with your 3,800lbs setup if you've got somewhere in the neighborhood of a 380-455lbs tongue weight.

One more thing, after reading your first post again I realized that you will be carrying spare tires and tools. Presumably you have a tire rack and tool box on the front of your trailer. All that weight is way near the tongue and exerts a larger force than if it were centered perfectly over the trailer axles (in which case it would exert zero force on the tongue). The longer your trailer, the more exaggerated this effect will be. With that setup, I'd definitely weigh your tongue weight. You honestly may not be able to offset that weight merely through the location of your car on the trailer.

How long is your trailer? Do you have a picture of it?

BTW, what do you race in; M3T?