King David lounge is they have wine and beer. Can’t picture a bar in the hotel.

Both Tel Aviv and Jerusalem are big cities and if there is a plane that lands at Tel Aviv after 11PM, you can be sure that there will be taxis waiting to take you wherever you want to go. We stayed at the Dan Jerusalem and it is a full-service hotel. They will have someone at the front desk to check you in no matter what time you arrive. In order to check in at 1 or 2 AM, however, you would have to have paid for the day before (the one that ended at midnight while you were on your way there.) Check in is usually around 3PM on the day of your arrival, so if you want to be shown to a room at 1 or 2AM, it will have to be a room that is already paid for, which at 1 or 2 AM, will be the previous night's rental. For example, if you want to check in at 2AM on Monday, you will have to pay for Sunday night. If you only pay for Monday night, you won't be able to check in until 3PM. The Dan has a "club" that you can join online. Once you register with them, you are eligible for discounts, including a room upgrade and a discount off food and beverage purchases in the hotel. I would recommend you look into that before you leave so that you can take advantage of those deals.

Check with the hotel desk personnel. (You are asking previous guests.)