OK - let's go through things - piece by piece
I worked through the points you raised.
#1 - Yes I configured the new Gmail account login AFTER having deleted the old Office 2010 account that was a POP3 login. So from what you say
the new account must be in the original, or relic Outlook 2010 Profile. Understood that I can't have both types POP and IMAP account at the same
time.
#1a - Yes I view the <File>--<Account Settings>--> <Data Files> tab and I have TWO listed
- first in the list in the new IMAP Gmail account which DOES NOT HAVE a Tick mark
next to it and it Named as my email address and located in C:\User\username\appdata\Local\Microsoft\Outlook\ with the file named
as myemailaddress.ost
- Then there is second Named as Outlook Data File in C:\User\username\appdata\Local\Microsoft\Outlook\Outlook.pst. NB: This has a
Tick next to the Name.
#1b - Noted about the way IMAP uses its own set of folder. It makes things a bit messy for backing up my mail files vs the old single .pst file.
So currently (in this mess) I copy from those folders back to the original Inbox, Sent and other locations which I hope are in the .pst file.
#1b - Your screen shot of the IMAP acocunt settings on my PC matches that image with the exception of the 'Purge items when switching folders
while online' which is NOT checked on my setup.
All of the above is easily explained. When you uninstalled '2010, it did not remove the Outlook O'2010 Outlook profile. When you installed '2019, it copied the information from the '2010 Outlook profile which would have included the data file info (ergo - the PST file). When removing a POP account, it does not remove the PST file associated with that account which is your case is a really good thing. The <default data file> is where the default contact / calendar folders are stored.
Just for info, in case I haven't mentioned this already, if Outlook cannot find / open an OST file, it will automatically create a new one and sync with the server. In the case of an IMAP account, that only includes email folders. If the OST file was set as the <default data file> - the "this computer only" contact / calendar folders would be empty (ergo the data in the those folders would be lost. Another info tidbit, if there is an existing <default data file> in the Outlook profile <before> you configure an IMAP account, you will not have any contact / calendar folders in the IMAP folder tree just in case you're wondering why you don't have any,
So..........there is no requirement to have your Gmail account configured using IMAP, you can just as easily configure it as a POP account, just like you had with '2010 AND you can use your existing PST file for the account so nothing gets lost and you can keep on working the way you were used to which probably would make things a lot easier for you (image problem aside). The only thing is that for a POP account, enabling 2FA in Gmail is mandatory along with generating / using am <App Password>. All that info is outlined in my response that was marked as "the answer"
In '2019, a POP account must be explicitly manually configured which is done by
a) click on <Advanced Options> underneath the email address box when you add the account
b) check the box for "Let me setup my account manually"
c) click on <Connect>
d) select POP and proceed accordingly making sure to select an existing PST file instead of letting Outlook create a new one.

Now - people have reported that there are instances where the option to select an existing PST file is not provided. Not a problem, that is something that can be resolved after the fact but will leaebe that to another message if it's necessary.
#2 - Missing Images
From everything you've described so far, have to be honest, am at a loss to isolate a specific cause for this behavior. This is what I would do if it were me but before that, let me ease your concerns about creating a new Outlook profile, as long as you don't delete the existing Outlook profile, you can always go back. Absolutely nothing would be damaged by doing this. You can create as many Outlook profiles as you want.
You might even want to try your hand at configuring the account as a POP account. It's unfortunate that you deleted the POP account in this process since all it required was changing the password for the account to use the <App Password> but no matter, just as easy to get back there.
First step is to take note of the full folder path / file name of the PST file in the current Outlook profile as listed under <File> --> <Account Settings> --> <Data Files> tab
With that in hand, 2FA enabled for the Gmail account and an<App Password> generated, time to create a new Outlook profile. Somewhere in this thread I think I included these steps but for convenience will do it again
a) - With Outlook closed open the Control Panel <Mail> app
Just in case you need info regarding how to access the Control Panel Mail app, that's described in the following article by Outlook MVP Diane Poremsky
Where is the Control Panel Mail icon?
https://www.slipstick.com/how-to-outlook/where-is-the-mail-icon/
If using Windows 11
How to Open Control Panel in Windows 11
https://www.lifewire.com/open-control-panel-in-windows-11-5193187
b) - Select <Show Profile> --> <Add> --> give the new profile a name (no need to remove the existing Outlook profile)
c) - Configure your email account(s)
be sure to use the existing PST file for this account but if the option doesn't appear for you, don't worry about it, go with the flow and just let me know. Will provide you with the steps on how to go about using the existing PST file
d) - Set the newly created Outlook profile as the default for the next time Outlook is opened otherwise it'll use the old profile
Now if you got everything set up and you still cannot get your images downloaded, and the boxes in the Trust Center are unchecked, the next thing I would do is a repair of Office '2019
<Settings> --> <Apps> --> <Apps & Featires> --> scroll down to <Microsoft Office 2019> --> click on <Modify> --> select <Online Repair>
Will stop it here for the time being for either any questions you may have or to find out what the results are in terms of the steps outlined
One last minor point regarding
.......sorry I would have uploaded edited images but as I say I don't use online storage to do so.
Don't need online storage to capture and include screenshots but doesn't matter - none are required. Got everything needed from your description