If your wheels might be unsafe to ride I'd rather buy some new ones just to be sure, especially if that bike came with those deep heavy wheels they show on the website? If so, upgrading your wheels will be the best option not only for your safety, but performance as well. My personal favorite budget wheels are the Shimano Ultegra's which are reasonably light, can be run as a standard clincher or tubeless (comes with stems), decent hubs, very reliable, and can be found on sale somewhere for around $400. Otherwise, if you want to spend a bit less check out Nashbar for some Veulta's or even Performance for a set of their house brand Titan wheels which are a bit heavy (1755g) but have great reviews and have the best warranty in the business for around $160 for the set?