I'll try my best to respond to your questions. I work in HH but I'm mostly in the office doing QA there days, although I do work in the field at times, and I also have a lot of interaction with the nurses in the field on a daily basis.
1. Most of the nurses are our agency do not fill out the paperwork at the patient's home although as the QA person who's also an RN, I try my best to get them to do that. The reason why they don't fill it in at the patient's home is because most of them over-schedule themselves for the day, and they then have to rush on to the next patient, often not with our agency (they work for multiple agencies, seeing various patients daily). Some other reasons are because the patient population we work with generally don't want people hanging around. I've suggested that they stay in their vehicle outside patient's home once the appointment is over, as a second option (the first one being in the patient's home) but that's rarely done either. The main reason though is that most just want to be able to get in more appointments in a short amount of time, and they think that they can get the documentation done at the end of the day, in the comfort of their home
2. Each agency is different. Some have support staff who make calls to remind patients to expect the nurse, others don't. Our agency doesn't because it's more efficient for the nurse to be in touch with the patient, and schedule their own appointments based on theirs and the patient's schedule. Not too such what you mean by "balance of work" but we do the QA when the nurses turn in their docs, that can sometimes take some time depending on how responsive the nurse is to requests sent through QA, then we receive the corrected doc, and we either approve or ask for further changes or clarifications (which is extremely rare). As for inputting notes, our office staff does not do that. We do however help with wound care consults and we follow-up with all wound and medication orders for the nurse (apart from the basic monthly med order refills). We also provide phone support, answer all MD and their office calls, take all patient family calls, we also help our nurses report issues to MDs, VA, etc as required in order to help our nurses. Also we write communication notes so that the nurse and other staff are all on the same page, and the communication notes are in the patient's chart (online)
3. RNs decide the frequency only for Medicaid, not for VA patients, and I'm unsure about Medicare patients. As for the abbreviated terms, I think nurses may find it easier to just click on the number of times a week, or a month, or whether it's bi-weekly, or weekly, etc but it would be great if were easily converted to industry standard short form so that others who also look at the documentation can use it in the form they've been used to having it in. Not sure if that makes sense.
4. Can't help with number 4, sorry.