Yes. An E-2 spouse is employment-authorized incident to status under current policy and may work at the enterprise or for any other employer, with the annotated I-94 as evidence. E-2 children may attend school but cannot work, and they lose derivative status at 21.
The E-2 spouse can run the office; the children cannot be on payroll
If Marc is the principal investor, Renée enters as an E-2 spouse and is authorized to work by virtue of that status, so she can manage bookings, run the store or take an unrelated job without a separate application. The couple may instead structure both as principals if each owns and controls in the required way, but the simpler route is one principal and one spouse. Their children can attend school as derivatives; they may not work at the marina, even in summer, because derivative children are not employment-authorized. A child who turns 21 before the family's plans change needs a status of their own — for example a student classification — arranged before the birthday. All family members are admitted for the same period as the principal and should renew together, and none of them acquires a route to permanent residence through E-2.
Hypothetical example: A Canadian artisan-soap wholesaler will relocate with a spouse and a sixteen-year-old child. The review should establish the spouse’s derivative documentation and the child’s school plan separately from the investor’s business evidence. A qualifying E spouse may be authorized to work incident to status, but a child may study without receiving that work authorization. The family must decide whether the enterprise can operate while the principal spends time on school transition and whether the spouse’s work plan needs proof of status for a new employer. Do not assume every dependant has the same rights.