Is is possible to see these ratings/labels/classes on an article? For instance, ...

inops · on July 25, 2019

The article's class is on its talk page.[1]

If you have an account and don't want to leave the article to find out the class, you could enable the metadata gadget. [2]

[1] https://en.wikipedia.org/wiki/Talk:Charles_Dickens [2] https://en.wikipedia.org/wiki/Wikipedia:Metadata_gadget

segfaultbuserr · on July 25, 2019

Article ratings below "Good Article" are considered only relevant to the coordination of Wikipedia writers and editors, so these are only shown in the top templates in its Talk Page.

For example,

https://en.wikipedia.org/wiki/Talk:Charles_Dickens

You'll see:

--- This article is of interest to the following WikiProjects:

* WikiProject Biography / Arts and Entertainment (Rated B-class)

* WikiProject England (Rated B-class, Top-importance)

* WikiProject Children's literature (Rated B-class, Top-importance)

* WikiProject Hampshire (Rated B-class, Top-importance)

* WikiProject Journalism (Rated B-class, High-importance)

* WikiProject London (Rated B-class, Top-importance)

* WikiProject Kent (Rated B-class, Top-importance)

--- This article has been reviewed by the Version 1.0 Editorial Team.

* C - This article has been rated as C-Class on the quality scale.

* B? -

This article has not yet been checked against the criteria for B-Class status:

Referencing and citation: not checked

Coverage and accuracy: not checked

Structure: not checked

Grammar and style: not checked

Supporting materials: not checked

Accessibility: not checked

To fill out this checklist, please add the following code to the template call assessing the article against each criterion.

* High - This article has been rated as High-importance on the importance scale.

TuringTest · on July 25, 2019

The Gadgets section has an Appearance setting to "display an assessment of an article's quality in its page header".

https://en.wikipedia.org/wiki/Special:Preferences#mw-prefsec...

The lock icon is a different issue, it is used in a subset of controversial or high-profile articles to limit the types of editors that can edit it (from requiring editors to be logged-in to a temporary full edit block during disputes).