1. You are right that the start date in the paper based application is off by 1 day (compared to the online physical presence calculation). Since it is automatically calculated based on your 'To' date in the PDF file, there is not much you can do about it. I did some search on this forum a few weeks ago and found that this question been asked multiple times. I think the general consensus was not to worry about it. To be safe, for question 10 (addresses in last 5 years), perhaps use the start date that is calculated in the application (CIT0002E) to be safe. You dont need to worry about date in question 11 as it is based on YYYY-MM only and does not need date.
2. The online instruction guide says that we don't need to sign printout of physical calculation, however, Question 9 in CIT0002E suggests that we need to sign. I decided to sign to be safe but i think it should be fine without as well.
Hope this helps.