eid salaah

Q: With regards to Eid Salaah, in the following situations, how does a person cover up for the missed Takbeeraat:

1. If a person joined after the Takbeeraat were made, but he got the Rak'ah.

2. If he missed the first Rak'ah completely.

3. If he missed the Takbeeraat of the second Rak'ah but he made it for the Rukoo'.

4. If he missed the entire second Rak'ah.

Q:

1) Is it permissible to attend Eid namaaz along with a non-muslim who is the minister of a state?

2) Or what is the effect of those on the namaaz?