Capital Gain on sale of Property

Hi ,  sorry you will not fall in that criteria , reason being section 54 applies only in case of long term capital gain and your is the case of short term capital gain , so you will not enjoy exemption under the head capital gain .Also you need to consider that exemption is available only in respect of house property and not any other property , for any other property you need to refer to section 54 F and that too also cover the case fo long term capital gain .

However answer to your second question is the date of transfer should be reckoned from the date of registration with authority .