There are exactly 8 screws on the shutter speed selector dial knob. 3 hold the "cover", 3 more hold the part that can get out of synchronization, and 2 hold the base where all the parts of this knob mount on to the top casting. They are rather tiny indeed. Make sure you get some good screwdrivers to work here, especially since the soviet steel (if it is really steel) seems soft.
The meter is completely uncoupled from the shutter winding and film advance knob. Have you messed with the speed selector/film advance knob? It's not hard to put it back to where it belongs, at most it will require a bit of trial and error. I have no experience disassembling the meter controls as I own the meterless version.
Does the knob moves beyond the "B" mark when you raise it to adjust the shutter speed? That is a surefire way to know it is assembled incorrectly.
And always, always cock the shutter before trying to change shutter speeds. Failure to do so may damage the internal mechanisms.
This site has basic info on the disassembly of the Kiev 4, I am posting a link to the page that most likely interests you:
http://www3.telus.net/public/rpnchbck/the basics top casting removal.html
But only proceed if you are comfortable with messing with tiny screws and the like.
Some people make it sound like there are a a gazillion pieces inside this thing - which is not the case indeed. I almost completely disassembled mine for a quasi-CLA, runs pretty good now. Even I was amazed, considering the fit and finish is quite lacking, and mine being a 1964 example, probably sitting neglected for the past 30 years or so.