Hi AP, glad to hear you have mended your self
yup i think if you try that program with my suggestions it should help. I dont think you will lose out on the deads etc doing them last as i imagine with all the stuff you do you legs and posterior chain with have lots of endurance, which means you can concentrate on the upper stuff first, with no worries.
as regards pullups/chinups, from your other thread a few suggestions i have are.....
1. static holds at the top and bottom of the movements ie use a step get onto the bar and hold yourself in the up position for as long as you can, relax off then get into the lower/arms fully extended position and hold as long as you can. in both cases crush grip the bar, whatever grip you are using.
2. whole body tension, as well as crush gripping the bar, tense your abs, your glutes/bum like you are trying to hold a coin there, and squeeze your knees together (hold a rolled towel or something there for comfort), you will find this actually makes you stronger as it tricks your CNS into firing up thinking it is picking up a big weight so it fires up more motor units!!! Cool eh! This should get you to do your first one. This works well for all slow grinding lifts eg deads, OHP, benchs etc as well
3. Look into greasing the groove GTG, this is essentially, doing chin ups thru the day. work out your max,for example say you can do 4, every time you walk past the bar or have a minute do max of 2 chins/pullups, if you can do 6 sets this is a total of 12, do that for a couple of weeks do a max effort test and i bet you will find you can do significantly more.
4. as part of #1 when you can hold your self up for over a minute on each in both supinated and pronated grip ie chin and pullup, start lowering yourself in a slow controlled fashion, IMO when you can do say 5 reps like this under control, you should start trying tp pull yourself up unassisted.
also look at these articles on dragon door.
http://www.dragondoor.com/articler/mode3/488/http://www.dragondoor.com/articler/mode3/7/