What is safe to do and what keeps you out of trouble sometimes can be two different things. Understand that the GVWR of 14,000 is what you will be expected to operate at. If you were involved in an accident, you will want to make sure you are not exceeding that. That will keep you out of trouble.
Now, what is safe? Let me start with this...I did not build the trailer not do I know all the details of construction. Take this piece of advise with a grain of salt. I am some anonymous web user and have no authority in the matter. On to the information. If your trailer has (2) 6,000 pound axles and tires to support that then you have 12,000 lb capacity. There will also be a certain amount of load shared with the truck/hitch (15-25% depending on how you have the weight distributed). Now, you can look at 12,000 + 1,800 (15%) to get you a "safe" 13,800. If you look at the higher side and you have (2) 7,000 pound axles and assume 25%, then you have 17,500.
Next, you need to consider the truck and payload capacity of it. You do not mention what the TV is. If you are using an older model 3/4 ton, you are severely limited on rear axle load capacity. If you have a new 1 ton drw, there is not much to worry about. In my two examples above, you have one with 1,800 lbs added to truck payload and the other with 3,500 lbs. As you can see, there is a pretty significant difference. Make sure that you are not overloading the trucks rear end. This is the most likely scenario for owners of toy haulers that are <40'. Too many think that a 3/4 ton or 1-ton srw truck will work just fine. I have a 1-ton srw and understand I am at the limits with my CY3100.
Unfortunately, these trailers are coming off the line very near their GVWR. As you saw, with very little loaded and 10 gallons of fuel you only had 1,080 lbs remaining. The 2,135 that is referenced does not take much into consideration. Just try to cut weight where you can and make sure your truck is up to it. We rarely travel with a full water tank. Try filling as close to your final destination as possible.
Remember, it is not what you can safely pull. It is what you can safely stop! Heck, a Tundra "pulled" the Space Shuttle!