Okie dokie… So, when you see everything with a cross it means that the Cron Tasks weren’t able to do their job and run the checks. Which is exactly what you’ve referred to here 
The difficulty lies with diagnosing your issue on a Shared Host. When you run your own dedicated server, you have absolute control over everything. But on a Shared Host, the Hosting Company partition the server and give everyone their own allocated portion. Therefore, all of the configuration settings of the server run a little differently from one host to the next.
A Dedicated Server
For example, on a dedicated server you would simply setup the cron tasks by running the following command from the Magento root directory:
bin/magento cron:install
This would install the following cron tasks:
* * * * * /usr/bin/php /var/www/html/bin/magento cron:run | grep -v Ran jobs by schedule >> /var/www/html/var/log/magento.cron.log
* * * * * /usr/bin/php /var/www/html/update/cron.php >> /var/www/html/var/log/update.cron.log
* * * * * /usr/bin/php /var/www/html/bin/magento setup:cron:run >> /var/www/html/var/log/setup.cron.log
A Shared Hosting Server
In your case, you can see that the 3 Cron Tasks look wildly different. And that’s because of the way your Web Host has decided to set up their servers. Therefore throwing in a load of “unknowns”.
Anyway, I’m not sure if the cron install command would work - But you can certainly try. But before you do, it looks like your 2/3 of your Magento Cron tasks are scheduled to trigger every 5 minutes. This should be every minute.
*/5 * * * * This means every 5 minutes
* * * * * This means every minute
Try amending the Times in the Cron Jobs to every minute. Wait a few minutes. Then try the Web Setup Wizard again.
Alternative Services
I’m not sure how invested you are to your Web Host. But can I recommend Nexcess.net SIP-100 Package? Simply because they are a Managed Hosting Company who specialise in Building Magento servers so that you don’t have to worry about any of this. They also have a 30-day money back guarantee if you decide you don’t want to stay with them. I used to use them before I started building Magento Servers from scratch and so I can’t recommend them highly enough. With your current issues, they would have supported you through them rather than leave you to it. I just thought I’d mention this on the off chance.