Which sounds better this table and chair was made by hand in Mexico or this table and chairs were made by hand in Mexico

Answer 1

If you have more than one chair, the second is correct. The plural of chair is chairs. If there is only one chair, use the first.

Answer 2

Which sounds better this table and chair was made by hand in Mexico or this table and chairs were made by hand in Mexico

A table and a chair are two different things. Therefore, the subject (table and chair) is plural and should have a plural verb. in either of the sentences, the verb should be "were".

Hope that helps!