BFIST - I do a lot of chasing snapper/kahawai/Trevally on 1 kg and use a ABU 5600C4 reel with a Ryobi Superlight SPLS 6500 rod, which is a two piece overhead rod which I find ideal for 1 kg line, however I do not know if you can get hold of these rods anymore it is about 10 years old. Another option is to contact Leon and Barbara Woodill of Rodworks (Offshore Rods 07 5434416) and get them to make a rod for you.
I would love to have a lever drag reel but there are no lightweight leverdrags that I believe are suitable for 1kg line which you can also cast a light bait with. For 3 and 4 kg line I use shimano charter special TR1000LD's but I do not think they are suitable for 1 or 2 kg line as the gap by the spool is wide enough to allow the line to go down the side of the spool which is a no no for this line weight plus they are not that good for casting a light bait, ok for bigger baits though.
One thing that I think is important is to use reels with level winds which move with the line in free spool so that when the reel is in gear the line is always lined up with the centre of level wind.