It looks like a RZR trail is 120" long...that is 10 feet. You did not mention which "sport quads" so I just looked at average, which is about 70"(long)...this is just under 6 feet. According to the trailer specs you only have 15"4". It seems that you will be over. In order to fit all of those toys in the trailer you will need something like this.
Jayco 30FEven with this trailer you will be pretty stuffed. By the time you fill water tanks, fuel tank, camp gear, and toys you will be at GVWR on trailer. Tongue weight will potentially run #1500-1800. This is just the fact-of-the-matter when dealing with toy haulers. Take it for what you will...good luck on your decision.