Searching the forums I only found this thread mentioning the trailer.
First of all we need a picture.

Picture from Amazon:
http://www.amazon.com/Aosom-Traveler.../dp/B00AJQVVMQ
Looking at the picture I see knobby tyres. Personally I would not use knobby`s on a trailer, unless you often ride in places where it could slide sideways. For that reason I would buy something with less thread. The trailer is rated for 110 pounds so make sure each tyre can take atleast 60% of that.
Tubes- not sure. I suspect they could work ok with better tyre- that is tyres with some puncture protection. Those tyres in the picture does not have much of that I think (looks like the ones you find on cheap childrens bikes).