Yes and no.
Seems to me at first glance that these are correctly balanced redox reactions.
Whether they precisely describe what you have seen I don't know, but somehow I doubt. Your pH was probably too high, besides, as AWK stated, chlorides could be oxidized to chlorine.
No idea about the second experiment, but there is a strong observational hint that in the first one reaction has not proceeded that far, but stopped earlier, with Mn(IV).