sensor_validation;
Consider these extracts from FCOM 1.27.20 p.5, High Speed Protection:
Quote: When it is activated, the pitch trim is frozen. (...) The High Speed Protection is deactivated when the aircraft speed decreases below VMO/MMO, where the usual normal laws are recovered. Unquote.
Furthermore, in normal law with AP off and no sidestick input, the FCS maintains 1g. The elevator movements you noticed may be the system's normal response to g-variations due to turbulence.
Regards,
HN39