Almost all wheels sold today are hubcentric and because aftermarket wheels use a large hub size in order to fit as many vehicles as possible you need to use a hubcentric centering ring in order to perfectly center the wheel. In order to obtain the correct ring you need to know the size of your hub and the size of the hub on the wheel so you can find the correct spacer to fill the void. However I'm not sure that it was causing the problems that you had, sounds more like an alignment issue exacerbated by the wider and lower profile tires.
Your tire widths sound fine assuming standard rim widths. Might want to get an alignment and have them add a little toe-in, no more than 1/8th of a inch.
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