Welcome to the Cove. 
<snip>
It seems to me that the first thing you need to do is classify the defects, understand the frequency or likelihood of each one (and associated costs, if practical). Given that information, you then need to identify the process characteristics that contribute to those defects.
The extent to which process characteristics may be controlled is the object of control charts, and control limits (not specification limits) are a product of the data. The type of control chart to use is dependent on the nature of the product and process.
I'm not sure what you're driving at with regard to the relationship between good and bad parts. I think what you need to do is understand the ratio and determine what's causing the defects. The number of defectives considered acceptable is largely a matter of economics, and the potential need for sorting, and how your customers tolerate receiving defective parts.
Human influence is one of the process characteristics you'll need to understand. Sometimes it's best to start from a broad view and narrow it down as necessary. For example, it would probably be best to determine, if possible, if defects are most likely to occur during a specific shift, rather than trying to narrow it down to a specific person or machine from the outset.
As a former boss of mine was fond of saying, "If this were easy, anyone could do it." It's not easy, and there are many variables and vagaries that must be understood if you're going to avoid making things worse.
I highly recommend Donald Wheeler's Understanding Variation as a starting point. You might also find the NIST/Sematech e-Handbook of Statistical Methods helpful. Note that the latter link is to a U.S. government site, and may be blocked to some visitors outside the U.S..

<snip>
So my question is: How could I know both limits (upper and lower - I am asking about ALL parameters) in case if is NOT determinated anywhere (on the technical drawing)? More than 50% of machines don't even have the screens to check and even if they had them (screens) this wouldn't help me because they would show current parameters and not maximum and minimum allowed.
The extent to which process characteristics may be controlled is the object of control charts, and control limits (not specification limits) are a product of the data. The type of control chart to use is dependent on the nature of the product and process.
Besides my main question, I also have two subquestions if I could ask...:
1. Is 50 bolts per day per one machine good daily amount? If yes: what should be relation between good and bad parts? I was thinking about 35 good and 15 bad. I think its a good idea. May I please for your comment, what do you think?
1. Is 50 bolts per day per one machine good daily amount? If yes: what should be relation between good and bad parts? I was thinking about 35 good and 15 bad. I think its a good idea. May I please for your comment, what do you think?
2. I work daily from 7 AM to 3 PM which is classical working time for almost everyone. One of the sorting criterias will be based on worker (first + last name) who is responsible for machine. We don't have many workers so this should be a problem BUT another group of them start working from 2 PM to 10 PM. The only exception is the section for thermal processes who also work the night job (until 6 AM). Issue is obvious - I cannot be here 24/7. Sorting the cards based on specific worker should also include sorting based on time when they work. Am I absolutelly required to still sort based on work? Note: I have in purpose to choose the bolts for analyzes from different locations of the same box which says a lot. I ask this because workers' productivity and exactness is not always the same in the different working times (regarding exactly the same person).
As a former boss of mine was fond of saying, "If this were easy, anyone could do it." It's not easy, and there are many variables and vagaries that must be understood if you're going to avoid making things worse.
If anyone knows any good book / online tutorial on this topic, I would please for suggestion.
