In my case, I have used my US Master's degree as a proof of language skills. Although my Language section of the tracker still shows pending, GCMS notes state that the officer is satisfied with my submission. I believe Language, Prohibitions and Physical Presence - all three of them get flipped to Completed at the same time, even though they may have been reviewed separately by different people at different times.
I would highly recommending obtaining GCMS notes and reviewing what's actually notated in the file. Before doing that, I wouldn't take another language test. AFAIK, IRCC doesn't verify the academic credentials submitting in most cases. They will trust the WES evaluation if they are not familiar with the school that issued your degree.
Regarding reaching out to the MP's office - nobody here can give you a definite answer for this. Besides, you have only mentioned a relative timeline. Not sure when your husband submitted his application and how long has it been since the last update. If it's too early, your MP's office may simply ask you to wait to let IRCC follow their process.
All the best.