Depending on where you get your wheels from - they may come with the correct lugs. Just make sure that you have the correct backspacing.
Most aftermarket alloys wheels use "tuner" lugs - much narrower style than the OEM acorn lugs. But since you asked - OEM lugs are 12mmx1.5.
Aftermarket suspension would complement the wider wheels well - just depends on what you are after - balance front and rear, more aggressive ride height, straight line performance, etc.
Hard to believe you are having "traction" issues, unless you mean relative cornering performance. Also keep in mind that tire performance is dependant on compound of the tire as well. You'd be quite suprised at what a better performance tire will do in the stock OEM size or PLUS Zero size.
I switched from OEM 14x5.5 wheels to 16x7 for better cornering and handling, then back to 14x5.5 wheels. With the better compound tires that I have on them now - I can easily maintain the same cornering attitude and speeds that I could with the wider wheels. Plus I get much improved performance in nastier weather, better steering feedback (14" tires are lighter than 16" tires + a lot cheaper) and increase in overall fuel economy to boot.