Unfortunately for you no, not with that many in a short period. You would not be hired because no insurance companies will cover you. The best you can hope for is to keep your license completely clean for the next few years. Nothing. No tickets or warnings of any kind.
Apply everywhere you can think of but most important BE HONEST. Being terminated for any reason, especially a major accident is a uphill battle. You also have multiple preventables which will hinder you further. Certain accidents are seen as more significant such as rollovers. Use this link to Apply For Truck Driving Jobs. Be prepared to hear some tell you no. It only takes one to say yes but it may take a while to get that yes.
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I recently lost my job due to a major accident. No one was injured and no other vehicles were involved. my record is not squeaky clean. I've also had three minor preventables in the last 3 years. Does anyone know of a company that would be willing to hire me?