No the subjunctive is quite incorrect there. Sentences one and two are wrong, as is your last example.
Obviously you're aware that compared to your language, English tends to use the subjunctive much much less - though not to the negligible extent that some would have it. The subjunctive is often hard to spot in English, since it doesn't have a dedicated form.
There are sites everywhere on the web that list verbs which normally take the subjunctive after them. They are mainly command/order/suggest type verbs. You won't find 'avoid' among them.
"The use of round-tip scissors prevents the kid hurting himself."
"The use of round-tip scissors can help avoid injuries to children."
Student or Learner