If the structure of the URL's make sense, I wouldn't worry about it.
But if,
carsdepots.com/birmingham-cars/cars
is really just
carsdepots.com/birmingham-cars,
then I'd think about addressing it.
Welcome to the Q&A Forum
Browse the forum for helpful insights and fresh discussions about all things SEO.
If the structure of the URL's make sense, I wouldn't worry about it.
But if,
carsdepots.com/birmingham-cars/cars
is really just
carsdepots.com/birmingham-cars,
then I'd think about addressing it.
In addition to what Bryan suggested, have you crawled your site using screaming frog or some other service.
Did you try going https: at some point??
Or... http://www.acsilver.co.uk/www.acsilver.co.uk/shop/pc/vintage-Vintage-Rings- c152.htm
Does your competition have more content for these products?
If so, you need to ramp it up.
Either way, no-indexing them is not going to do any good.
Hire someone to make sure all of your redirects are setup correctly.
Do you have the Analytics Tag Assistant for Chrome? That can help you verify analytics is set up and working properly.
Re: 1- Tough call. Why can't someone have access to the main site?
Re: 2- Subdomains now have the same DA as the rest of the domain.
Re: 3- Great company to study,
At this point, I'd only adjust 301's for the pages actual users are trying to access and pages with good backlinks.
Google will always have a record of the old pages in WMT, don't fret over that.
Is being #1 bringing in traffic and $? If so, Takeshi's answer below might be worth looking into. The only problem with "If it aint broke don't fix it.", is that once it's broke, you're left w/ nothing....or worse. 
REI and Cabela's do a nice job.
This Mozinar from last year is really good-
It's tough to give an answer w/o knowing specifics.
If each dealer is truly unique and not just a "branch", then go for unique sites w/ unique content.
Otherwise, follow the standard corporate website structure and create a page to each location.
This is getting old, guys!
I've got nothing but respect for MOZ but it definitely seems like you bit off more than you can chew.
I can't think of one Moz "tool" or service right now that is 100% reliable.
$100/month isn't going to break the bank for most people....but it's an expense. It's actually more $ than I pay for my 400 sq. ft. office's internet service and electricity combined. And they're always on. 
It works for some of the largest companies in the world. You're telling people that you're a legit company with nothing to hide.
Use it as a CTA and test it out!
Zappos:
name="description" content="Free shipping BOTH ways on shoes, clothing, and more! 365-day return policy, over 1000 brands, 24/7 friendly customer service. 1-800-927-7671" />
SE Crawlers are not logged in and will encounter the '302'. So no flow of "link juice" will be passed.
The usefulness of PRWeb seems to depend on the market/industry.
PR Newswire is a good general one. But I've found better results with going directly to market-specific journals and news sources. Some offer pretty decent packages with good syndication/distribution.
Check the services that show up on Google Alerts, TalkWalker, etc.
But like you said, there are better ways to spend your time than churning out PR's just for the sake of it.
What do you mean by pointing them to your main site (linking or redirecting)?
And if your concern is just because you have the inventory of domain names, shut 'em down if the sites are of no value.
I agree w/ AWC.
If you do watermark, just make sure it's not the least bit distracting.
One ecomm site I work with has over 10,000 original product images. They were constantly being stolen, which is annoying considering the effort that goes into the production of the images. Once they were watermarked (via the ecomm platform), the poaching pretty much stopped.
Why not expand and optimize the current website to focus even more on "big blue widget"? What things can you do to serve the visitors better?
You're success in ranking well for that phrase (congrats by the way), is a result of the effort you put into the entire site, not just that page. -assuming the volume is decent 
If it were I who needed to make this decision, I would do so WITHOUT the #1 ranking being a deciding factor. Though it's hard to say w/o knowing the details of your situation and the risks you're willing to take.
With a new site, you're essentially starting over, so I'd look at it w/ a long term focus in-mind.
What are "results"?
Are you willing to turn over your entire site to the "SEO provider"? If not, it's truly difficult to pay for results.
It's a two-way street; your SEO firm can only be effective if you're doing your part. The days of paying a company to "go out and do some SEO" are long gone.