I have a few uncertainties about how I set up for the tests. My doorways are all fairly narrow, and the walls are thinner than in American houses, and all of them have a door set into them, no open doorways, so I wasn't sure if the dimensions would make a difference.
I based my original movement screen i used with clients on the SMS, just with a few others added in.
The only test I used the door way on was Hurdle Step and Seated Rotation, so it can definitely be adapted. Being able to see yourself on video will help loads - I have the advantage of watching rather than performing when i'm doing these tests, so less need for a door way.
On the In Line Lunge, I was unsure about the position of the tape on the floor. Is the center of the tape supposed to be lined up with the center of each door jamb? This one really felt like an impossible movement to me. By the time I was near the bottom of the movement the dowel was firmly touching both door jambs, and I felt like I was bending backwards to try to avoid it. I just didn't think that, given the dimensions of my body, and the geometry of the door way that I could possibly get to the bottom without the dowel touching.
This is one I never used a door way for, I can't remember exactly what ABIB says about the set up.
However, just give it a try outside of doorway. It's possible especially considering your location that your door ways are a lot more restricted! Anyway, this is like a lunge on a tight rope. Actually in the FMS you do it standing on a 2x6 board, the "Inline" part just means your rear foot toe is right behind your front foot heel. When you lower down your knee should drop right behind the heel.
In FMS you hold the dowel behind you vertically and trying to ensure 3 points of contact (hips, upper back and head), try this as an alternative set up.
This is very underestimated. Many people can't even get into the starting position, with both feet in line, one in front of the other, both feet flat on the ground, and the stick/dowel in against the spine. I even have a modified version for new members who I know will do horribly (as i don't want to embarrass them).
So, where do I start?
The FMS gives a sort of algorithm for this. The SMS is more simplified and subjective. In FMS you start with Shoulder Mobility and ASLR. Deep Squat is the last to get addressed directly. Since seated rotation relates to shoulder mobility, I would recommend you start here.
You're supposed to prioritise asymmetry which in your case would obviously be Hurdle Step. This is because asymmetry is the second biggest predictor of future injury ("previous injury" being the first).
It's generally recommended you go after one pattern at a time. However, it's also recommended that if one pattern is more mobility than stability (i.e seated rotation), then you can go after that, too. So, regardless of which other pattern you went after, I would definitely work on seated rotation.
You should see progress on a pattern in a couple of weeks providing you do enough home work. So if you get this right you should know instantly. You should actually feel an improvement in movement quality right after the correctives, IF you are in the right place (doing the right thing). The real challenge is making the changes stick.
So, if all is as it seems, you should go after hurdle step and seated rotation. However...
I screen with the FMS (worth saying i'm self taught so far). This is scored (0-3) rather than pass or fail so it's much easier to score an asymmetry. Just based on my own experience, I would bet that with an asymmetry on Hurdle Step, you'll have an asymmetry on ASLR, too - although it's not noted because both are "fail".
So I would look at that again and see if there's a blatant difference side to side. If so then I would go for ASLR with Seated Rotation because I suspect this would likely fix your Hurdle step, too.
My gut is screaming ASLR, basically. Especially because I know you've been having issues with deadlift (although don't know many details..). Also, ASLR is so over looked but it's such a crucial screen. I didn't give it it's true worth until the last year or so.
Based on that screen, btw, I wouldn't have you do heavy deadlifts and single leg work would be limited if at all. I wouldn't have you train heavy deadlifts until you passed ASLR and I would like your single leg patterns (Hurdle step and ILLunge) cleaned up before you started doing the likes of Bulgarian Split Squats or most lunge variations.
Quick note on seated rotation - thinner walls/doorways means you need more ROM so it could alter this for you. However, you should still be reasonable close and, most of all, was there a difference between sides?