Well......
Those GY Marathon 235/80R 16E are only rated at 3420# @ 80 psi (13,680# total capacity)
So I bet you have 6000# axles also.
Those Marathons have enough load capacity especially with amount of pin wet being carried by truck (probably 2800# at least) so 5rv axle weight would be 10,880# or less (doubt you are towing at GVWR)
I would replace those 5 yr PLUS old tires.
New set of 235/80R 16E-----Goodyear Endurance have been getting good reveiws
Same load rating (3420# @ 80 psi)
Your rims are only good for 80 psi so going to higher load rating at higher psi would require new rims and tires. Not necessary for your axle weights