My 6250 GVWR ultra-lite trailer had a delivered weight of 5326 with full LP tanks leaving 924 for cargo. I know I'm close to my cargo limit when packed for travel even with an empty refrigerator an...
The apparent weight of the trailer (from the tires point of view) is far higher bouncing down the road then sitting in an RV park. Other then a slight flat spot which will go away when the tires warm up, no harm done. Assuming you had them covered (sunlight, dogs watering the rims, etc) they are the same as when you parked. Spring sag from constant weight is another matter.