Is it possible to see sunrise and catch 12:16 train and where to find website of hotel at eastpeak of Mt. Huashan?

Yes, it is possible and time shall be enough. After seeing the sunrise at East Peak, you are advised to hike to West Peak to take the cable car down. Then head for the train station to catch your high speed train.

I have no idea of a website for accommodations on East Peak, but I know there is a East Peak Hotel there. You can check in on the spot and no need to book in advance at all.