If you have not received any letter confirming your promotion to the next higher post with the conditions stated therein, you can be deemed to be covered under the original offer letter alone
Therefore you can tender your resignation with 30 days period alone quoting the original employment offer letter and send this communication by registered post with a mention about your last working day and also may place your demands for F&F settlement, experience letter and the relieving letter by then.
You can stop attending the office with effect from the date following the last working day and resort to legal action if the company is not complying with the demands made or rejecting your resignation letter on the basis of its own fancy ideas/rules, because in the absence of any communication from the company about your elevation they cannot enforce their idea even legally.