Visa is something that allows you to enter the United States. Once you entered the United States, the expiration dates on your I-94 or I-797 controls. The visa validity date don't matter anymore until next time you want to use that visa to enter the US.
As long as the offered salary is no less than the required prevailing wage of the offered position, there should not be a problem in the salary aspect. The fact that your current salary is greater than the new job salary don't matter. See more details of H1B at...
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