1. 13 week no equipment program or #29-#37-#32 combo or #29 - #29 - #32 are all three good starting plans.
2. I would only increase the weight after you tested your maxes, or maybe after 4 weeks when you finished #29 for example.
3. Work on conditioning/explosiveness. For example short sprints, medicine ball throws, broad jumps, vertical jumps etc.
4. I don't think it is necessary per se, but you can experiment with it on offdays if you keep it light. Noone has ever died from more upperback work. I wouldn't tax your shoulders too much, but then I think lioght side raises and rear delt raises are ok. Front delts are taxed enough during benches and dips.
Personally I used a sumo stance deadlift and got a 25kg increase (280kg to 305kg) with the standard program of Dave Bates. My conventional deadlift before the program was 290kg.
Formyour second question, I did run 2 cycles of Sheiko (first time the 29-31-32 and second time the Dave Bates), in the first cycle I indeed increased the weights, during Dave Bates I didn't. I made decent progress both times, so more research is needed from my side.
Busy with this one, currently just passed skill evalutation. Eager as i was tried to set prs anyway. Did go well actually. Missed 250kg squat though, too eager i guess with 240kg max. Bench I set a 5kg PR to 135kg and deadlfit a 10kg PR to 300kg.
Did 29-31-32 Had no meet. Started from 235-125-280 Ended with 240-127.5-290 The 240 squat was done at skill evaluation and i had a close fail at 245 due to technique fault at peak day. Overall gain was 17.5kg BW stayed the same (116kg).
29/31/32 might also be good, that is the one we (starter20 and I) are running now. Set pb in sq and dl already at skill evaluation (alotugh it might have been better to save them, but it was to tempting) aand saturday maxing, keep you updated,
We decided to do #31 for several reasons. First, more lifts in the 85-90% range, we thoght it would be good to touch some weights of 90% before the peak cycle. Second, #31 starts with 3 weeks of a relative large volume, which backs of in week 4, gives a bit better (at least in week4) recovery than #37 while you touch the 90% weights in week 4, so you will probably have a better view on where you are capable to at the skill evaluation day. The low bench intensity at #37 was also not so good iuo (ofc we could have done Bates part here as well). Hope this clarifies.
T thought I somewhere read that Sheiko advice lifters which are lower than CMS rank should not pull from the deficit of 4 inches, but go lower, because that will mess up their technique (because the technique of these lfiters is far from perfect yet).