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The big cell phone providers (and big telecoms like Verizon, Comcast, etc) tend to be very aggressive in collecting what they believe is theirs. This is one reason I buy my own high-end phones and use them with no contract prepaid plans. I also believe these companies use credit reporting as a weapon for collection, as does the debt collection industry.
You didn't give any details as to the amount of the collection (if it was cell phones did you return them?). I would discuss my dispute with Verizon and yes it's hard to get to someone that can do anything about it, but it can be done. Come to an agreement and offer to pay that amount if they delete the credit reporting (aka pay for delete). You can of course sue in small claims court - in Virginia, it's for cases up to $5000 and they can't use an attorney in court (unless you are suing an attorney and he represents himself). Then you present your case to a judge and live with the results - if they don't show up then you win - if they do show up make sure you have a strong case.
IMO talk to Verizon collections and present your justification and an offer to settle for delete, it's the quickest and cleanest solution.
If you are going to apply for a mortgage, yeah you need to take care of it. How does the $1300 break down? Equipment vs monthly data and air time? f it's all airtime and you didn't use any due to your dispute that's a point to make. As far as the equipment was it ALL returned to Verizon? If not, that could be construed as fraud since you never paid for it (still a contract dispute rather than willful theft).
What worked for me with an erroneous credit report filed by Verizon - long story but I had nothing to do with the phone or plan I just helped by helping my elderly mother get a basic plan, which she never used but she paid the bill every month until her analog phone no longer worked on their network. I filed a complaint with BBB (worthless) and another with the CFPB (basically also worthless) but then I posted a public statement on Verizon's Facebook page which resulted in an "executive" contacting me. After explaining to a real person they still wouldn't budge because they said they sent her a free digital hone to replace the analog one, I asked one question "was it ever used or connected to your network at all? They killed the collection and removed the reporting but I know I would have destroyed them in court.
You case on the other hand is "your" fault because you broke the contract without a waiver to do so. Okay, you were dissatisfied with the refurbished phone they sent, but what about the one they supplied you? You got angry over a product and billing dispute, that does not nullify the contract.
You have talking points and you have a case to negotiate with, but if you want to get a mortgage you are going to have to find a solution or settlement. As far as your scores, they are not that bad and the damage of the collection as far as scoring will ding your scores for 2-3 years, but a mortgage is a whole different matter.
Don't get mad, get even - we ALL hate our cell phone companies and big telecoms - every year they populate the most hated company listing.
I had a Verizon account that I lost the phone in a taxi and closed in 2013, but they kept billing it, despite it being end of contract, etc. Ended up in collections and I found it on my credit report this year.
Spent 2 weeks calling them, getting supervisor call backs, etc. They would not budge. They WILL NOT Delete, even if you pay. So, I looked further, found a couple old emails asking them why they were billing a closed account and wrote a dispute letter, attached the emails and sent certified mail off to the credit bureaus. Experian deleted it almost immediately. TransUnion and Equifax are still ""investigating"" (stalling), but I expect the same results.