You may want to also check out the Sailun S637. Yes they are made in China but they are an excellent tire that is much easier on the pocketbook than the Goodyear offerings. There are several members on here running them including myself and I have yet to read the first negative issue with them.
I would replace those tires ASAP. Having good tires is relatively cheap insurance compared to having a failure and damaging your new trailer not to mention the safety aspect of changing a tire beside a busy freeway.