Have you looked at a map? I am serious; your itinerary crisscrosses and backtracks all over the country, especially in Northern Israel. Akko is not near Tiberius, the Banias is far from Tel Aviv (it's close to Rosh Pina).

A private car with a driver for the travel you plan is going to cost a fortune, I don't know your finances, but have you checked out the prices?

If you must spend nine days in Tel Aviv, I highly recommend taking day trips while there. You can take the train, fast, affordable and safe, to Caesarea and Akko (just get a taxi to get you to and from the train station). Consider some time in Haifa to see the Baha'i shrine and gardens, you; you can combine that with a day trip to Akko. It is possible to see some of the sites you plan to visit in Jerusalem while staying in Tel Aviv; it' only an hour away by bus.

There are some days where your scheduled activities leave you with a lot of free time while on other days you simply try to squeeze way too much sightseeing and driving into to little time.

I can't believe that four month in advance you already know where you are going to eat on specific days and time of day. That's a bit obsessive. Walk around, see what appeals to you, and talk to the locals.

If you are dead set against renting a car or using public transportation, I suggest hiring a tour guide and let that person help you plan your trip.

Look through some of the earlier threads where tour guides have been recommended.