@Lochnessgiraffe
They told me I would be busy there was a lot to do not the pm had left . No handover just thrown in on a system I'm not familiar with. No pm processes as we don't have time. No requirements documentation raid log reports etc.
These are all classic project mistakes and why they fail. Your job as PM is get this back under control and/or escalate to the project sponsor/senior management. What was their response when you did this?
In the gentlest possible way OP, are you fairly new to project management? The points you're mentioning in your posts are all fairly standard issues and as a PM, you need to sort these out. You haven't mentioned that management have pushed back on you so I'm wondering if you're just suffering in silence and haven't escalated? (with your proposal to change things)
I'm sympathetic as I was brought in to take over the project management of a project that was failing (failed 3 years in a row and was on track to fail again) in an investment bank (so you can imagine the pressure). On my very first morning, I spotted an issue (that shocked me) and I escalated straight to the IT head with my plan to fix it. This has continued - so far I've identified 65 (!!) points of failure and I'm remediating them in parallel with trying to deliver the actual project still. It's long hours, very political, and a lot of pressure.
Your job as PM is to grab the project by the balls and drive it forward. That's easy for me to say as I have many years of experience. If you don't have much experience with difficult / failing projects, it'll be much harder for you and literally make or break you.
Are you empowered to make changes to the project? You sound very passive so I'm wondering if you don't have the authority (or the inclination?) to do this.
If you've already lined up interviews despite only being there a few weeks, it seems like you've thrown the towel in already? That's your choice of course. But it would be useful to know if you've done everything you can but management aren't listening and that's why you're walking away?