One is four little squares on the top left part of my phone with other icons where my voicemail is and another looks like a water droplet or circle ish flame..
The first one looks like a launcher? Game launcher maybe? The second one I swear I've seen it...but where? Yup, second one is Tinder. Knew I had seen it somewhere haha.
Do you have a smartwatch or anything like that that syncs with your phone? My entry-level smartwatch has that four-tile icon to access its settings menu.