This isn't the answer you are looking for; if you want basic integration, you can create a custom page and Iframe your CraftingStore shop.
This is unrelated (but doesn't feel worthy of a new thread) and should be addressed, maybe fix this?
(It should say Monology everywhere I believe)
Sidenote: Site Suggestion: Please add a Module label to Web Feature Requests.
Not expecting anyone to do this, but if you were up to the task, could you create a Blog module for Nameless? Most of the code could derive from the Forums module.
This could be integrated into the NamelessMC plugin. Your suggestion is structured really well in the way that it would be on the play page and it wouldn't be too hard (I assume) for the developers to integrate this considering they have all the variables necessary. Though this would mean site could only use MC names, no custom names.
Reply to Community Tab:
I truly think this is a good idea, maybe not a tab, but like a page with just a place where people can do what you said above. Lot's of features could fit into it. Reply to Application/Ban Appeal Viewing:
The module you use for applications and ban appeals won't be updated, I can assure that 99%, @Partydragen
(please work mention) is developing a forms module and maybe he could integrate a feature where the form is posted as a forum thread for people to view.
I don't think the staff are going to end v1 support any time soon considering how many people use it
I'm also those parts though I moved when I was young and forgot Serbian