Your situation involves personal contact with an object in air (her body which is not a risk for hiv.) No worries, because you can't get hiv from personal contact except unprotected penetrating vaginal or anal, neither of which you did and you didn't share hollow needles to inject with which is the only other way to acquire hiv. Analysis of large numbers of infected people over the 40 years of hiv history has proven that people don't get hiv in the way you are worried is a risk.
HIV is a fragile virus in air or saliva and is effectively instantly dead in either air or saliva so the worst that could happen is dead virus rubbed you, and obviously anything which is dead cannot live again so you are good. Blood and cuts would not be relevant in your situation since the hiv has become effectively dead, so you don't have to worry about them to be sure that you are safe.
Question 3. If you are searching the internet for ways to die, it is guaranteed that a person will find a site that tells you it can happen, no matter what subject you are "sleuthing". We rely on the opinion of expert doctors and do not pay attention to whatever claims people locate on sites. Some sites use theoretical risks that have never manifested in 40 years of history - how useless is that theory?