No, just the national flag. There are some strict rules for flying national flag which are very easy to violate. Some countries don't even allow the national flag to be flown by citizens only the government. The citizens get a different flag for non-official purposes.

Only the Indian flag. You can freely fly the flags of states, organisations, or other countries.

There are a lot of complicated rules about flying the Indian flag. No one knows all of them, so if you break them (and someone notices), you'll just get asked not to do it again. But when some politician or govt officer accidentally breaks one, it becomes very embarrassing for them.