I made a vow "If the Israeli troops retreated out of Gaza strip I will buy a cake from a certain bakery" and it happened. Am I obliged to buy from the same bakery?
You are obliged to buy from the same bakery. And Allah Knows Best.
I wear braces because I had an accident. However, Iam afraid that I could die and be buried while wearing them because they are permanent installation. Is this forbidden? I also wear false teeth. Should I ask my children to pull them out after I die?
All perfect praise be to Allah the Lord of The Worlds. May His peace and blessings be upon our Prophet Mohammad and upon all his family and companions.
If the braces are worn to get teeth back to normal, then there is no sin in that and there is also no harm in wearing false teeth. Moreover, you don`t have to have them removed after your passing away as this undermines the dignity of the dead. And Allah The Almighty Knows Best.
Should nail polish be removed before making ablution?
Yes, it should be removed because it prevents water from reaching the nails.
Who is obligated to fast?
The one obligated to fast is the Muslim who is of sound mind, mature, capable of fasting, and free from obstacles such as menstruation or postpartum bleeding. And Allah Knows Best.