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I would recommend creating a page for it. You will be limited with the amount of on-site optimization and content you can add to a category page in most cases.

I would recommend business directory citations, content sharing websites, guest post articles, resources page links mainly. You may also see some success with sharing relevant links to your website in related industry forums, relevant blogging comments or social bookmarking websites, although I would use these types of links sparingly compared to the first few types I mentioned.

I would actually recommend redirecting it to the homepage. If you have a Wordpress website and a bunch of 404 pages, you can install a free plugin called "All 404 to Homepage" and this will solve the problem. I would, however, recommend that if you have replacement pages or pages covering similar content, that you redirect those to the corresponding replacement page.

I would check the Index Coverage report in GSC, and then maybe try re-submitting your sitemap in GSC.

For Google Analytics I would check under the Source/Medium report to see if Organic Google traffic has changed at all.

While typing in  "Latest from ***.com" may trigger some press releases or news sites to show. The Google SERP is not strictly Google News. The Moz screenshot you attached showed Moz's latest blog posts at that time, and were not related to Google News to my knowledge. Hope this helps!

It looks like your homepage Meta Title is "Top PreSchool and Daycare in India - Become a Klay Kid today‎!", and does not say Klay School in it. It also appears Klay School is not in any of your H2s or the H1 of the website. I would recommend changing the Meta Title and/or the H1/H2s to include "Klay School" if you want to rank for it. Once changed, you can then re-index your website with the URL Inspection Tool in Google Search Console.

Yes Google understands H2s as a subtitle and this helps with your page's readability and optimization. I would not remove them, and instead see if there are any opportunities to optimize them with target keywords or LSI keywords.

Ideally these pages would be set to nofollow/noindex, so the 302 redirect is merely a way to avoid a user ending up with a 404 error page. I see no problem with this and can's imagine how it would negatively affect SEO in any way.

Very odd, I have looked into this a little bit and it looks like you have a Wordpress website, I would recommend you check your "Site Title" and all schema code you have to make sure there is nothing that says your organization name is Maine Coon. If you or the developer you mentioned have already done this, you may try deleting and then re-adding your sitemap in Google Search Console. If none of this works you may try slightly editing the page's Meta Title and then requested Google re-crawl and re-index that specific URL via the URL Inspection Tool in Google Search Console.

I don't think there is much risk in this unless they are expired domains with a bunch of spammy links pointing to them. However, I don't imagine you will see much if any ranking improvements from doing this.

You can make product pages more robust by including an FAQ section or writing a more detailed description. If you are reselling a product, it can also help to include the product # or manufacturers id on the page as well.

Not that I know of unfortunately.

If they were local business listings you could use Moz Local, Yext or BrightLocal, but it doesn't look like that is the case. I would just let the client know it may take some time, but with continued link building efforts Google will eventually start to drop Vevox from the search results for MeeToo.

Yes it is best practice to fix or replace those broken links on your website. Having broken links can cause you to lose trust with a user, seem dated, and possibly lose some authority with Google.

According to Ahrefs, 21% of their referring domains have the exact anchor text "meetoo", this is leading Google to think it that https://www.vevox.com is relevant for that term. Also the old website meetoo.com is 301 redirecting too vevox.com, which is another signal that Google is seeing that also makes them relevant for "meetoo".

I would recommend keeping the 301 redirect in place, but you may have to do a "link audit" to see if you can edit some links pointing to https://www.vevox.com that have the anchor text "metoo" as well as build or gain new links that say "Vevox" or "https://www.vevox.com" to help outweigh them.

The other option is to wait it out as I imagine Google will eventually figure out that https://www.vevox.com is not what the searcher is looking for when they search "metoo", unfortunately the wait it out method could take months or longer.

I believe links towards the top have more value as they are "more likely to be seen or clicked on", outside of the main menu, I would personally try and have any internal links be relevant in-context links if possible, and the higher towards the top of the page the better.

Someone may have a workaround but my understanding is no unfortunately. Google Analytics does not support pulling the zip codes or geocoordinates in any way. In addition, you should not send the data as custom dimension to GA as it is against the terms of service:

“If collecting geolocation info, ensure it is not GPS or fine-grained location information, as this could lead to reasonable inference of the individual. “Fine-grained location” information for Analytics is defined as any area less than 1 square mile, including any lat/long data. In some instances, such as in the UK, zip code can map to a single residence and thus cannot be passed to Analytics.”

https://support.google.com/analytics/answer/6366371?hl=en#geolocation

While a penalty is possible, if you do not see any "Manual Actions" within your Google Search Console account, this is likely a ranking change due to a recent algorithm update. I would check into Google Search Console & Google Analytics to see if search impressions and organic traffic have actually dropped any, and then look into your links to see if you have lost any.

Sometimes it just takes a couple days to show in SERP results. I looked up the listing and it appears there are now pictures showing on your GMB listing.

I believe there is a way to do a "Find & Replace" function within Wordpress or your HT Access. I would highly recommend working with an experienced website developer for this. If you have any additional Schema in the of your website, updating it within the should update it sitewide automatically.

They probably use it in their Meta Title and have enough LSI keywords or related keywords that Google clearly correlates them with the keyword you are searching for.  Also, I bet they have a good amount of quality inbound links and possibly some internal or external ones pointing to the ranking page that have part of or all of the keywords in them.

I would try and evaluate why Google thinks this is the best result in terms of quality and content depth, not simply if they have the exact keyword in the page copy or not.