Restriction does not apply to tour buses. Notification may be more rapid if arrested American shows US passport to Israeli officials as proof of US citizenship. Advisable to leave with minimum of Israeli currency. Winters in north cool. Rain in winter widespread, particularly in Jerusalem.
Summers can be very hot, especially in south.
Red Sea resort of Eilat has good climate for beach holidays all year round. 57F along coast, 48F in mountains. Rift Valley 15 F degrees warmer than rest of country in winter. Definitive information on customs requirements for Palestinian Authority not available. Leave suit and tie at home.