hi MRS. NAINA,
your child's umbilcal cord problem doest seem to be of a great concern. it can reduce to normal in a few weeks, however if if it persists to last for a long duration, he ll need to be shown to a surgeon, as it might be a hernia
But this eye rolling is a concern, it needs to be seen by some pediatrician
as early, it could be a seizure
lke activity but can be confirmed only if witnessed.