Activate multiple themes

I currently run two sites using ITheme and Denitto themes. I am trying to implement an online store via woocommerce, but it appears that plugin works well with more compatible themes.

1. Can I run multiple themes?
2. If not, can I create one page with the setup of an online store using woocommerce plugin?
3. If so, how do I set that up or customize the page?
4. Is there a better plugin that will allow me to set up an online store page but keep my original themes?

Any suggestions and recommendations are greatly appreciated.

Thanks,

Diamond