This app was mentioned in 2 comments, with an average of 1.00 upvote
A quick search on the app store shows this:
https://play.google.com/store/apps/details?id=com.mobilefence.family&hl=en
Seems to do most of what you're asking, although I'm not sure about your 3rd point, like I said, this was just the first thing I could find.
Hi, quick to the point: if your smartphone is source of new porn for you and you also do not want to throw it away, I recommend:
Now you have porn-safe smartphone, without easy way to access to password. Yes, without internet browser - but I found that all existing filters are not bulletproof. If you do not have accountability partner with email address, you could just give some fake one, but I don't know if you will be able to reset your device to factory settings later without access to settings. So make this at your own risk.