Can I add Facebook "like" icon, or to follow?

Hello,

I have 2 questions…

I would like to sort of connect my post to facebook/ my website to facebook.
It would be great if I can add a small icon at the butom of the post for people to “like”, and facebook icon that can direct people to Facebook page.

I tried url function in the post editing page, but I don’t know how to do it.
Can someone share the knowledge with me?

ps. during trying I found out that everything that I wrote in a post will show on the sliding photo on the home page. Can I choose which part to show/ not to show?

Thank you.
Maxim