Rest. try to rest the wrists and avoid repetitive use and wear splints at night.
Treat the CTS. carpal tunnel syndrome is due to compression of the median nerve within the carpal tunnel. This can cause weakness in the hand and wrist however strengthening exercises will not by themselves cure the situation. splinting and steroids or NSAIDS may help however you may require surgery to relieve the pressure on the nerve. This will most likely improve your strength as the nerve function improves.
No. That will not help the situation and could make it worse.