Resignation without contract details

Hi I'm new here. I sent an email to my manager about my resignation. The last working day would be 90 days from the date I've sent the email but my 2 years contract is not finish yet.

Now my questions are:
1. Can I stop working on the date I've told them even they refuse to accept my resignation?

2. Do I need to pay anything eventhough there's no details about resignation on my contract?

I hope somebody could help me. Thank you!

P.s. The contract I've signed is just the job offer.

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