Instead of using padconnect use the multicity tool to split the journey up further
Slice 1: TLV-BGO, Day 1 exact day only
Slice 2: KKN-OSL, Day 5, exact day only
Slice 3: OSL-TLV, Day 6, +/- one day

or similar. I would not use padconnect unless you have too many slices to fit in the search boxes.

It's also possible that no one will sell you a ticket containing the itinerary you desire; {KKN, BGO, TLV} is probably a bit of an unusual threesome of ticketed points and it may simply be no compatible fares exist.

In that case I would explore TLV-BGO and OSL-BGO, and look at separate tickets on KKN-OSL. Since you want a layover in OSL, you don't need to worry too much about luggage routing or missed connections. You may find this is cheaper in any case.