Welcome to e health forum.
It is not possible to diagnose HIV just based on the signs and symptoms that you have. As you know already, the diagnosis can be done only by HIV antibody detection by serology testing. Unless a HIV test confirms that you are HIV positive, your symptoms cannot be attributed to HIV.
Tonsillitis is not a common and specific sign of HIV infection. The enlarged tonsils is mostly due to chronic bacterial infection, and hence you will need antibiotics and anti inflammatory medications to help reduce the symptoms. In case they do not work, then you may need a surgical procedure to remove the tonsils.
The weight loss in your issue, is most probable due to your anxiety, stress, and reduced dietary intake.
I would suggest you to consult with a ENT doctor for a examination and specific treatment of your tonsillitis.