Definitely not! You'll do a great job with the stuff you have, but yeah, certainly recommend a metal polish!
Hint for next time too, get yourself on ebay and find a 30ml panel pot size Dodo Juice Supernatural wax. Easily enough for at least 5 coats, so maybe a years worth of waxing for me. Only £13 ish too. It goes on so easily and buffs off easier than any non-liquid wax I've ever used