No there is no commentary on Upanishads by Kashmiri Shaiva Acharya Shree Abhinavagupta. His main focus was to compile all Tantra texts which he did by writing text Tantraloka. Here are the list of his works:
Skandaswami (7th Century) 's commentary on Rigveda
Recalling what I read in the preface of Rigveda book from Gayatri Pariwar (you can read this paragraph at page number 19:
This is in Hindi language, the English translation of first couple of sentences would be:
Who did write the very first commentary on Rigveda and when? This is not sure but among the ...
In general, Tantrika gives practical implementation of the path most importance. And they don't tend to write commentaries on the texts of different school of thoughts.
However I could find only one commentary on Ishopanishad by Kaulacharya Satyananda available on archive.org:
As far as I know, the parimala has not been translated to English.
The sanskrit book called Brahmasutra sankara bhashya edited by N. S. Anantakrishna Sastri and Vasudev Lakshman Sastri Panshikar by Nirnayasagar Press, Bombay, 1917 includes vAcaspati's bhAmatI, amalAnanda's kalpataru and appayya dIkshita's parimala. This is the comprehensive book. The ...
It does. Imo every Purana contain atleast some interpolations.
Check verse 4:20:36-37:
"O King! When Mahādeva, being infatuated with Kāma, went into the forest of Bhṛgu and becoming naked, began to copulate, the ascetic Bhṛgu, seeing him in that state, exclaimed “O You are very shameless” and cursed Him thus :-- Let your penis drop off just now. ...