Hi In reply to your questions.
1 L & R cleaning solution for the machine. 2 what attaches to the rotating arm is a basket with sub dividers for the parts, Most of these are machine specific, not to say others may fit, a question of size.
3 oils and grease moebius is the industry standard Charts and lubricants can be found on cousins.uk
4 Mainspring winders, use your fingers (clean) or with finger cots winders are many and can be expensive.
5 as Old hippy mentioned any of the de carle books, then again there are plenty to choose from Henry B Fried also mentioned both mechanical and electronic watches.
6 have a look on the elgin site there is much information there to enable to to identify your watch. using the serial number of the watch on the site.
7 Tools are a personal thing buy the best you can afford and take good care of them they will last a life time.