You mention that you had a late payment in Jan 2016 but that the only thing listed as a negative is a collection. Both can't be true since late payments are negatives. Do you mean that you were late in Jan 2016 but it was never reported to the credit bureaus?
I suggest you go to the rebuilding forum and work with the folks there. My advice is to let sleeping dogs lie if you are fine with just allowing them to fall off at year seven. Those derogs that you need to get off your reports sooner you will need to develop a removal plan for. That could include negotiating a Pay For Delete agreement for collections or chargeoffs, goodwill letters for lates, etc. The folks in the R forum can help you best.
All negative items are not viewed the same. Negative items have two factors really, their severity and their age. The more severe the negative item, the more it will impact your score and the more recent a negative item, the more it will impact your score.
Thanks so much guys! Sorry, I was having a little trouble getting back to the forums yesterday
If I were you, for the sake of your credit scores/profile, I'd write some GW letters to those creditors and reference that you have PIF your debts and would greatly appreciate it if they considered removing the negative information (or account entirely) from your credit report. It can't hurt to ask and if you're successful it will only strengthen your profile. Otherwise, the waiting game continues for the duration of the 7 years...