The oem tires are usually the cheapest the manufacture can get.... I don't recall the size, but there was a recall on some of the Towmax tires that were on Jayco for '15 I think it was..... Look into it before leaving the shot tires!!!
May need the tires (or maybe just pics) to be reimbursed some if your tires are part of the recall.
Though your tires could already be 3yrs old, which st tire manufactures suggest a 3-5yr life span. Look for a 4 digit number (1215), which is the week and year the tires were made: 12 week, 2015.
See if you have the available rim capacity to step up a load range for more reserve weight capacity.