He is a buddhist
The child can choose which one he/she wants. If he/she wants Buddhist then that what the child wants. For people who want to know Buddhist is a religion it's not a philosophy.
Suicide bomb
Conversion of merchants was the strategy used by Buddhist and Christian missionaries employ to spread their faith.
Like everyone else' family life. My nana was a Buddhist, and her household ran no differently than my Roman Catholic grandmother's household, or my friends Protestant households. Family life is dictated by the individual people, not always by their faith.
Tiger Woods is a Buddhist. He attributes his faith to his mother.
Buddhism. There are diverse schools or lines of Buddhism.
Buddhist
He was a Tengrist, the native Mongol animist faith.
Buddhism is still today a very broad church with a range of views and ideas all coexisting under the umbrella term 'Buddhist'. Not all of these have a devotional or faith based approach. When talking about faith in Buddhism it is important to make a distinction between those Buddhists that have faith: in the Buddhist teachings, in the experiential reality exposed by the teachings and neither of the above.
There is no reason to suspect that marriage would have any impact on a Buddhist's "faith". Buddhism is a way of life, seeking moderation and the decrease in desire which leads to unhappiness. Whether the spouse is or is not a Buddhist would not necessarily make the Buddhist convert to the spouses religion, or adopt non-Buddhist lifestyles like lusting after thins in excess of physical needs, partaking in drugs or alcohol, being cruel, being untruthful, stealing etc.
No, the Dalai Lama is just the leader of the Buddhist faith.