The dish soap that I have has a Hechsher, it doesn’t say P on it. Can I use this to clean my dishes on Pesach?
Ideally you should use kosher for Pesach. Check with the certifying agency after explaining your situation if it is Kosher for Pesach.
If not, under the circumstances you may use it. Soap is not ingested and therefore it does not need to be kosher for Passover, and even though it comes in contact with dishes as it will be washed off.