Hey there.. I haven't had a seizure due to chemo, but I have had a few fainting spells that lead up to my cancer diagnosis. Don't feel like a child at all, there's nothing wrong with needing help... it's human! Plus, if you do fall.. everywhere is actually more dangerous than you think!! Particularly the bathroom... so I can understand your doc's suggestions. Just take it easy and play it safe until you feel better.
My hair breaks off at the roots too.. actually if you yoink out a strand, you can see that the chemo has made it thinner in spots. Weird drugs!