To check your sitemap for errors, use Screamingfrog to configure it. Open the tool and select List mode. Insert the URL of your sitemap.xml to the tool by uploading it, then selecting the option for “Download sitemap”. Screamingfrog will then confirm the URLs that are found within the sitemap file. Start crawling and once done, export the data to CSV or sort it by Status Code. This will highlight errors or other potential problems that you should head on out and fix immediately.
Keyword research should come first in your digital marketing strategy. Increasing web traffic remains the most important criteria for measuring marketing success and all search begins with keywords. According to Hubspot, more than 60% of marketers identify increasing their organic search presence as their top digital marketing priority. Though SEO continues to evolve, keyword research and content strategy remain the cornerstones of digital marketing.
If you have an "Action against Site" notice - then your site drops out totally from the SERPs and you have essentially been de-indexed. There will be a notice from the manual webspam team (real person) inside Search Console messages. If this happens, you cannot do much other than fix things and then send a plea and appeal to Google literally begging them to put your site back in their index - because you have cleaned up everything you do (or your SEO company did to your site).
The WA Keyword tool works well also and I am glad you like it. I use it as well. The reason I prefer Jaaxy is because it is an entire suite of tools in one package for an affordable price. Good choice to wait until you can budget for it. The free version gives a good taste of what is available but the paid versions both Pro and Enterprise are truly game changers. Once you make the leap you wont go back.
However, this does not mean you cannot topple them. It just takes more of an effort in terms of content as your page has to build the trust. That is why you will see the "Google dance" happening for fresh content from a site that is not yet trusted or is not very authoritative. Google gives your page a chance and measures user click-throughs when it pushes you to certain spots in the SERPs and then measures user engagement levels when the traffic hit your site through those positions in the SERPs.