Will my obligation under the lease agreement end at the lease expiration date though I still have the car?
What are my legal obligations if I continue to use car until it could be returned?
Can lease company charge me for the extra days that I could not return the car?
Am I obligated to continue insurance on the car and will lease company re-imburse me for the premium?
If I keep car in garage and not use it, who will pay deductible not covered by insurance if car is damaged by accident (for whatever reason)?
You are bound by you contract, should keep it insured and are responsible for it until returned. You could call the dealer or Lessor and ask where you can drop it off, otherwise, if you use it or have it available for your use expect to have to pay a fair price for that. It was not free before the pandemic and that does not change.