Thanks for your offer! I do re-use bottles (so grateful to those here on the island who are saving their bottles for me!), but it's not really a good idea to re-use the corks (can carry mold or bacteria and may not create a firm seal). Plus, they are pretty cheap anyway. I use my old ones in my garden / potting soil to help aeration (in a pot, try putting several in the bottom of the pot to help the water drain).
There is a way to make a cork board out of them (very cute).