All of the above suggest that the Company’s asking you to stay is far more beneficial to them than simply mourning the loss of a favoured member of staff. It is therefore important to stay objective and not fall prey to flattery. Bear in mind …
Our advice to you is that counter-offers should rarely be accepted. After all, you have a new job to look forward to and, ultimately, had a motive to look for that job. When faced with a difficult decision of this kind, re-assess what is of paramount importance to you, and your future, and follow that judgement. It’s your career after all!