Having a 2nd Google Webmaster Tools Account ?

Basically I want to make a Separate Webmasters Tools Account to Separate A New WordPress Website I am making .

All I want is to have this Website be separate from all my other websites.

But I will want to own it and be able to use Adsense On it.

But I want this website to be separate from all my other websites

Okay so I am very confused. Please bear with me as I try to explain this.
- I already have 1 WEBMASTER TOOL ACCOUNT connected to 1 GOOGLE ANALYTICS ACCOUNT which is connected to 1 ADSENSE account( or at least in my mind this is how it is all connected )

- I want to make a new word press website which I want to be Separate from all my websites that I currently have.

Question 1: Can I make a second Webmasters Tools Account for it and still use the same Adsense code on it ?

Question 2: If the answer to question 1 is yes,
Then, Would I also need a separate Google Analytics Account for it?

My understand so far is that you have one gmail account through which you can open a Google Webmaster Account.

Question 3: but then do i need a separate Google Analytics Account ? and if yes

Question 4: then Can i still put the same Adsense code from websites that are on separate gmail + separate Webmaster Tools Account + a Separate Google Analytics Account on it

If someone can explain how this whole chain works which includes:

Gmail
Google Webmaster Tools
Google Analytics
Adsense

Also, Do I have to have all 4 ?

If someone can clarify, Please help ?