One of your main concerns is "10 needle didn't go in" and the other is "find someone else to call". The first one, as I said before, is normal to try many times if it is difficult to puncture. However, specific to each hospital or region, there may be regulations in departments, hospitals or local medical institutions, that is, operators should be changed or anesthesia methods should be changed after multiple puncture attempts. Well, if you have certain negative consequences such as excessive puncture times and certain injuries, and there are specific regulations, then you can raise objections and complaints.
The other is to "find someone else", which is actually normal and correct in clinic. After the operation failed, the first thing to do was to ask others for help. This other person can be a colleague or a superior doctor. Of course, "others" also need to have medical qualifications.
In the final analysis, in fact, the difficulty of anesthesia will indeed bring some adverse effects to patients and their families. Your mood is understandable and normal, but your experience may not be regarded as "responsibility" or even "accident", nor is it "safeguarding rights and interests".