What info can i ask employer to confirm that approved petition is mine?

how will a typical approval notice look like and what are the information to look for in it?

what are the info to look in approval mail or notice to see if there’s any caveat?

The approval notice will have employer details, your details, and validity period. Go through it to make sure it is correct and there is no typo (especially in the name).

If COS was approved, then it will have an I-94 attached to the bottom of it, and you will have to confirm the I-94#, DOB and validity period on it as well.