input tax credit

Yes, you can subject to your GSTIN no on that as well as consumption of service/goods at your place. 

As per section 15 of CGST, we need to include any of the expenditure which the supplier has incurred for a supply of goods or services even though such expenditure is reimbursed by a receiver of service or goods.

Since you are including such expenditure in your outward GST payment you can claim ITC as well for the same.

Further, there is no specific restrictions are provided in this regard considering you must get the tax invoice in your company name and GSTIN number.

As per my view, you cannot since you have not incurred such expenditure for providing outward supplies.

If he is a non-executive director (other than the employee) then the company shall require paying GST under reverse charge however for executive director GST shall not attract.