@petrichor Sounds like it's the external noise acting as a bit of a clock, as well as some time pressure and external motivation.
There are some ambient audio channels and playlists around the place that have stuff like coffee shop noise, or office noise - you might have to dig a bit to find one that provides the right types and level of noise to match up, but that may help. Other option is body doubling streams but they're not always available, plus that's device time which could make it too easy to get distracted.
It also sounds like there's several tasks that you're trying to add back in to a routine - I've found that it never works if I'm trying to add in more than one thing. Easier to focus on adding in just one task (or even just one step of one task) and getting that solid. (Shower would probably be the one I'd prioritise - it's worth investing in a waterproof clock you can put in there as well to help.)
For intermittent tasks, I've always needed to do Calendar reminders or similar, otherwise I just can't keep up with it.