Do I have to have a cage or safety equipment?

Nope! Roll cages are not required. Your regular street car with a fixed roof is a perfect option for rallycross. Officially, the rules on the SCCA website read: “A RallyCross event is open to any fixed-roof production based vehicle (including convertibles with a factory hardtop attached, targa-types with factory panel in place, t-tops with factory panels in place) that can pass safety inspection. If the Event Chairman after consultation with the Event Safety Steward determines at his discretion that a vehicle cannot safely negotiate the course, it may be excluded.”