Grain of salt here, everyone's mileage will vary a bit.
1) No. I think there are advantages and disadvantages to both, but there are many, many people whose guru does not live right near them. This could be a discussion in itself, actually.
2) Hard to say. Some guru's prefer (for us) to make a personal connection but I suppose in these times zoom is an option of doing so. One would usually request an interview with this teacher and the process would go from there.
3) I think most people are lucky if they can meet there guru even once a year. For a lot of us we have to travel a bit to do so, not to mention any occasions where the guru is away, doing retreat, or what-not. It is pretty important to have an avenue to ask important questions that comes up for us during our practice. Aside from a fortunate interview from time to time, many also rely on the Lama's and in some cases senior students for a lot of these things.
4) really not sure of your question for this one.
5) all depends. Some people are fortunate to do a retreat with their guru, some may go and receive teachings from time to time, and others may only meet the guru occasionally, receive a practice from them and go off to do the practice.
6) different guru's have different ways of teaching different students, but from my experience a really good guru will do things in a bit more of an individual basis. Perhaps their lineage has a "curriculum" per day, but a good guru will always will with each student's conditions which are never the same as another.
7) varies depends on what we are talking about.
8) there are some excellent ones. A few things matter here in my opinion:
a) finding a teacher who really inspires us and whose teachings strike the core of our being.
b) our connection to this teacher- it is all nice and we'll if there are great gurus out there that inspire us, but if we don't have a connection, then it will be unlikely we could have any sort of meaningful personal relationship with them.
I really think the best thing is to focus in the teacher, and when implementing what they teach, how it affects your being in an ongoing way. This is so much better than being attracted to a teacher because of their popularity, organisation, etc.
Often times even if one recommends a particular teacher, though they be excellent in every way, they may not be the teacher for us because we all have our own karmic dispositions and so-forth.
This could go on and on, but even though we always seem hasty to do find a teacher and get going as quick as possible, it is a very good idea to take your time and examine the teacher a little bit. How is their knowledge of dharma? How do they deal with hardship? Is the well-being of the students their main priority? How accessible are they really?
This is such a vast topic here. A few suggestions from me,
https://www.amazon.com/Drinks-Bourbon-D ... arketplace
Now this teacher is not everyone's cup of tea, but this in my opinion is an excellent book about this very process of finding a guru, what to look for, what to avoid, and so-on. Worth the read in my opinion.
One of the many versions of this great prayer. So helpful in your situation. Preceded by a great article and this particular prayer is aimed towards the Nyingma lineage. Keep reciting, and making strong aspirations from your heart.
As I said, take my answers with a grain of salt. Some may give you a completely different outlook because I feel it is not always so cut and dry.