1. Having just returned from a trip to Israel, it appears that the F20 extension to F2 (Rishpon Junction) is open at least northbound. (Not sure about southbound as it was dark and I was on a bus as we went through). As I'm not entirely certain where the distinction is at the moment between F-series and M-series roads, perhaps F20 should be extended to F2?
2. Regarding F2: It appears to have full freeway status as far south as F5 as shown by Google Maps and having been on it last week.
3. What of F7? I don't recall any stoplights traveling down the length of the road from highway 3 to F4 outside Ashdod. It's possible that there was one and I didn't notice it (again, bus travel), but most of the Google Street view is from 2012 and a 2014 article (
http://www.ynet.co.il/articles/0,7340,L-4564794,00.html) indicates that improvements were made to full freeway status.