Double-check your application while applying for your Oman tourist visa. You cannot correct your name once you have applied. 

No, you are not required to submit any bank statements while applying for an Oman tourist visa. 

Since it is an e-visa, you can just download it again from your mail or from the website.

You can check the status of your visa application using the application ID. If you click on the "Oman Visa Status" in the top right corner of the website, you can enter your application and check the status of your Oman visa.