Yes, if a "Bris Milah" or "Brit Milah" isn't possible.______ No, the circumcision is done at 8 days unless it has to be delayed due to health reasons.
Yes, after 8 days unless the baby's health doesn't permit, then they wait until the baby is healthy.
Circumcision
If your question is around what he is holding while reason the Torah, it is called a yad - in English, a hand.
In the Orthodox and Conservative sects you can only be Jewish if your mother is Jewish. Reform Jews accept a child to be Jewish if his/her father is Jewish but many Reform Rabbi's will still convert...