Berlin/Munich Travel Question - What is the best option?

Hi Everyone! I have two separate questions and I am hoping you all can help me out.

Question 1:

We are in Munich from July 28th to July 1st. While in Munich we will be traveling to the Kloster Andechs, Neuschwanstein, Salzburg. We will then be traveling on July 1st to Berlin for 4 days.

The monthly train ticket deutschland ticket seems to work for a calendar month and not one month after the purchase. What would be my best option here for the price? Is there a weekly ticket that could be purchased for 7 day validity? Is there a ticket that can be purchased for 1 month of purchase and not just the calendar month since we will be in 2 separate calendar months?

Question 2:

We were hoping to go in one day from Munich > Kloster Andechs > Neuschwanstein > Munich. However, I did not find a route that seemed easy from Kloster to Neuschwanstein. Is this possible? What would you recommend?