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The older the latest, the less of an impact they have although 90 & 120 day latest tend to hurt more.
The payment history remains, even when the account is paid/closed, so you'll still feel the sting regardless.
Normally, the hit from a 30 day late is close to nil after 2 years. Since you have a string of 30 day lates on your mortgage & auto loans, it may still be a factor for a while, just not nearly as much as they did when they were fresh (<2yrs). It shouldn't keep you from getting Good scores inside a couple years if you get other areas optimized (util, etc) and keep your payments on-time from here out. The collection will probably affect things more, depending on the scoring model.