Search for multiple characters and return true or false

I am trying to find out wrong email addresses by searching multiple characters. Formulas I applied work separately but I could not find a way to combine them to apply in a single cell. Is there shorter way or can you show me how to combine those.

=SUMPRODUCT(--ISNUMBER(SEARCH({",",";","^","(",")","&"},LEFT(A1,FIND("@",A1)-1))))>0
=SUMPRODUCT(--ISNUMBER(SEARCH(".",RIGHT(A1,LEN(A1)-FIND("@",A1)))))=0

Quote from royUK

Here's a way using Data Validation. You may be able to adapt the formula to use in a sheet.

Validate Email Address

Thank you very much.

Quote from rory

Perhaps this:

=OR(COUNT(SEARCH({",",";","^","(",")","&"},LEFT(A1,FIND("@",A1)-1)))>0,ISERROR(SEARCH(".",RIGHT(A1,LEN(A1)-FIND("@",A1)))))

Thank you very much. It works as expected.