Is it considered okay to mention all the correction in an accepted article which is typeset by the press

Question

Let's say that I got a paper accepted to a nice journal (feels so good!), in fact of a very reputed publisher. Then, the press / editorial office asks me to submit all the source files for preparing the proof for publication and I have submitted all the source materials (in word / .tex format).

Here it is worthy to mention that the accepted manuscript is already respecting the journal's format (closely). But of course, the press will completely change the article's looks to match the journal's own proprietary style(s) etc.

A few weeks later, I receive the proof (in the native journal format) and much to my surprise, I see that the original mathematical equations in the manuscript got vandalized (in terms of alignment, even missing some equations etc.), subfigures (in a whole figure environment being named as a, b, c, d, ...) getting copy pasted (even including the subcaptions etc.), texts running across the borders, tables being sloppily copy pasted as images and even what not the mathematical symbols in bibliography are typeset as images!...

If that is the case, could you advise, whether I can mention each and every mistake that is present in the proof that is sent to me?

Honorable mention: I deeply feel bad for my paper, because, even after giving all the source files for compiling the proof, the typeset is being subpar given the journal / publishers standards (IMO).

Update: Today,

1. I got an email from the publisher that the corrected proof is available online --> which accoring to their definition means ready for production.

2. Upon seeing the so-called corrected proof I found that it was an exact replica of the one they sent before.

I thank all of you for your suggestions :)

Answer 1

If there are so many issues, I would suggest to not mention every last one of them but instead write a short email to the editor.
Don't go blaming people, ask if there is something you can do, maybe you sent your sources in the wrong format, maybe there was a misunderstanding.

If this journal frequently publishes mathematical papers, they should have proper ways to do things and what happened here is most likely not a small typo that can be mentioned while reading the proof, but a deeper problem that should be solved before doing the final proofreading.
(If, on the other hand, they only use MSWord 2003 and just copied stuff from your .tex-file or PDF, then maybe you need to reconsider your choice of journal...)