Sounds a lot like my utility trailer (Lil' Tex). It's a 4x8 tilt bed. It has a "#1500" load rating.
It came with 12" tires, but I've replaced them with a higher load tire, but I never had an issue with the lower rated tires...
I put 2 yards of bark mulch in it or load it up with fire wood or other heavy stuff.. I've never really weighed it, but I've driven it at hwy speeds for hundreds of miles with a load in it (fire wood) and never had an issue.
Just make sure the tires are at their max cold psi and load up the bike and enjoy...
๐ Stuff happens every day, so no guarantees in anything we do, so just use common sense and that's usually enough to get you thru it!
Good luck!
Mitch
2013 F150 XLT 4x4 SuperCab Max Tow Egoboost 3.73 gears #7700 GVWR #1920 payload. 2019 Rockwood Mini Lite 2511S.