Whether it is single or dual axle will depend on how heavy the trailer is. Manufacturers will not use tandem axles unless the weight rating requires more than one axle.
Tandems are more directionally stable, or at least harder to turn. If not properly aligned, the direction they want to go might not be straight.
This has upsides and downsides. In close maneuvering, particularly backing, it is easier to get a single axle trailer to change direction, harder to keep it going straight. If you are not paying attention, you can jackknife backing about the length of the tongue. But a tandem, you might have to back that much to start it turning.