Ok... lots of good info for the most part... but
I tend to come from the heavy end of equipment, (semi-truck, etc). My boat alone is 9600 lbs, and the trailer is another 4.5k or so triple axle. Total is 14,200... combined gross 23000. My flat bed trailer can gross 12k (tandem axle). Back in the day (80s) the semi grossed just under 80k lbs usually. I now have ~2.7 million miles under my belt... and learned a couple things along the way.
Being this is the case, I have some strong feelings about what the industry does to recreational use applications. Most of the light trailers are scary light built. There is almost no excess capacity built in.
One thing not mentioned is axle flex... any axle that gets to 75% of capacity is flexed, and if you measure you'll see that... or even your eye can see it in worst case. New axles have a down angle built in to the spindle set so they run true at capacity. But when they get seriously over loaded, they can bend and lose this set. When this happens your weight is not carried evenly across the width of the tire... and yes you will eat the inner portion of the tread even if the toe in is true. Combine a curb hit and bend the tube or the spindle out of toe... and you'll also shred em.
Now the industry knows this... but they need to stay competitive... so they go as cheap as they can. For most mfgrs, if its rated at 3500... it really means about 2800 true... to allow for a safety margin. Something you all need to remember when buying. One ALWAYS buys excess capacity... its money in the bank.
If your only wearing one tire mostly (it will effect the other too)... then the axle is sprung and or the spindle bent. No good fix to this, other than a replacement. Some shops can straighten them... but it would cost more than a new one in your weight class. I truely suspect this is the case... keep in mine you are running a continuously over loaded axle, fully flexed... only takes one curb hit to bend it in this state. It only takes a degree or two to start eating tires.
If you do not convert the trailer to a tandem... I'd suggest a 5k axle. Match your spring capacities too (you've been overloading them too). Cheap insurance all the way around.
TIRES:
Regardless of the capacity... always and I mean it, ALWAYS go with the best you can buy. Again, its money in the bank down the road. Here again the mfgrs need to stay competitive... and they do not install quality tires when new... at least most don't. Yes many of them use a radial car design... because they are cheap and plentiful. BUT... consider this... the tire is generally at design capacity... which leads to increased side wall flex. Thus heat and wear. This is not the situation you want, but is what most get, especially running across a desert with 140 degree pavement heat.
So here again... buy excess capacity, and NEVER a load range C or D on a fully grossed axle. Buy at least an E. I run a 100 psi G load rating on my flatbed. Also, especially on a single axle... you want to minimize side wall lateral flex (including the tow vehilcle, think about that). The vehicle will be much easier to control without added sway due to side wall flex.
BTW, I scratch designed and built both of my trailers... like I mentioned one has a 14000 lb capacity for the sailboat (spring limited, has triple 7k axles as I wanted the 7k brakes)... the other an 18000 lb capacity frame and bed that was supposed to go triples but is currently tandem because that's all my 3/4 ton would pull then. I've pulled it all over the country since 1996. I now tow with a 1 ton dually set up with a few extras... the most important for towing is a retarder (like a semi's jake brake sorta) in my weight classes. Factory built simply did not have the capacity or features I wanted... and many I looked at were just scarry built. So I built my own.
Have fun.
Dave