For my everyday use of gas, should I use my company card to use as a tax deduction?
Use company card for any mileage that you are driving for business purposes.
It'll make tracking and end-of-year reporting much simpler.
You may not, however, use the mileage you drive to and from your office (the IRS labels that as commute mileage) as a tax-deductible business expense.
No, unless the car is owned by the company and it's a company car. Regular driving of your personal vehicle is not a deduction. Consult your CPA and utilize a bookkeeper to assure your business expenses and documentation are in alignment with IRS requirements.