Thanks, Antonio! I appreciate your help.
The following seems to work fine:
ListAnimate[Table[Graphics[{Circle[{0, 0}, 1], {Red, PointSize[0.02], Point[m[[t]]]}}], {t, 1, 2}], AnimationRunning -> False]
It looks like the only problem is that Graphics is expecting a list. Graphics takes 1 argument followed by any options, so all the graphics items need to be in a list as the first argument. Currently your Point is trying to be an option setting.