The hose line with the leaks is part of the 2 stroke oil injection system. A pump in the engine case forces the oil along that hose.
From your pictures there doesn't appear to be any clamps holding that hose on.
Try pulling the hose off the fittings at each end and seeing how freely it comes off. As the line is under pressure, it may just be a tired rubber hose letting oil seep out.
You could try some small hose clamps on it, or else twisting some lockwire round it with pliers. Don't go nuts getting it tight or it will cut the hose.
While you have the hose off, have a look for cracks in the fittings as well.
Bookmarks