I have rental income as well as some personal home business income along with investments. Which Turbotax module is right for me ? Premier or Self Employed?

You should definitely use Turbo Tax Self-Employed (online) or Turbo Tax Home and Business (desktop) since you have a business and rental activity. 

Click here for online: https://turbotax.intuit.com/personal-taxes/online/

Click here for desktop: https://turbotax.intuit.com/personal-taxes/cd-download/