What are the types of testing required for a startup Spring MVC web application?

I have developed a spring mvc web application i would like to know what are the types of testing required before the spring mvc web application is live?

I have gone through different types of testing such as unit, integration, regression, functional, security, acceptance and Smoke testing

1. But I would like to know for a Shopping web application what are the most necessary or basic types of testing necessary before web application is live?
2. Is unit and Integration test enough or do I need to incorporate regression smoke functional system testing?
3. What are the tools required in Spring for functional,regression and smoke testing?
4. Is manual testing of entire website enough for launching a website ?