Yes, the J-2 can, UNLESS the J-1 holder is a physician serving the three years for J-1 waiver.
USCIS does not believe that a J-2 dependent of a J-1 foreign medical graduate can change to H-1B status, or any other employment-authorized nonimmigrant classification (with the exception of T or U status) until the principal Conrad State 30 waiver recipient has fulfilled his or her three-year employment obligations in a medically underserved area.However, USCIS is open to reviewing current regulations and considereing whether steps should be taken to enable such J-2 dependents to engage in employment while in H-4 status.
Check withcustomer service,
Under the law (8CFR 21A.2(j)(1) (v) (A)), a J-2 holder may use the earnings to support the J-1 visa holder. The earnings must be used for the “Family's customary recreational and cultural activities and those related travel.”
In this situation, the applicant’s J-1 waiver does not cover her period in J-2 status. 9 FAM 41.62 states that if an alien is subject to the two-year foreign residence requirement, the spouse and child of that alien are also subject to that requirement. Thus, the individual you have described would need a separate waiver to cover the time that she spent in J-2 status that subjected her to the two-year home residency requirement.Two separate DS-3035 applications would therefore be required in this circumstance.
You can switch back to TN from J-2. What you do has no effect on the children. They derive their status directly from your J-1 spouse.
J-2 holders can get work authorization and work as per the licensing requirements of their profession.
You can switch back to TN. To correct slightly, you do not automatically get switched to an H-4 (not H-2).
It is entirely in the discretion of the consular officer whether or not to give you a J-2 visa. Impossible to predict.