Deductions & credits

Sort of, yes.

Yes, you can use the Standard Mileage Rate on one vehicle and Actual Expenses with a different vehicle.

However, you need to clarify what you mean by "expense business only mileage using the standard mileage rate".  Do you have an Accountable Plan that you are submitting monthly reports to the corporation, and the then corporation reimburses you for those miles?  If not, what exactly are you doing?