1. That coat appears to fit you well.

2. That coat seems to fit you well.
3. That coat becomes you well.
4. That coat looks like becoming you well.
(Are they all grammatical and the same in meaning?)

5. Christmas is an important feast for Christians.
6. Christmas is an important festival for Christians.
(Are both the same in meaning? What is the difference between 'feast' and 'festival'?

1 and 2 are correct. 3 and 4 are not.

Feast means eating a lot of good food. 6 is better.