Although I will not have my degree until this summer, I have focused my dissertation on adult ADHD and am working toward specializing in ADHD assessment (i.e. formal diagnosis through testing) and treatment (primarily through therapy). It does sound like you are endorsing a lot of symptoms that are characteristic of ADHD. I would strongly encourage you to get tested. It can be pricey, but I believe it is worth it. Also, If you have insurance, part of this fee should be paid for you and there are also low cost clinics that provide these services). I believe going through the process of assessment and diagnosis is invaluable because: A) being diagnosed is often therapeutic in itself for the ADHD population you will become eligible for accommodations such as extra time on test, copies of another student's notes (who usually gives them to the teacher who gives them to you if you are concerned about others knowing you have ADHD; by the way, essentially no one will know you have it unless you tell them, including your teachers because you can decide when to discuss your dx with them) C) you get additional support from student services which can really come in handy D) there are many effective treatment options for ADHD, which you will not have the opportunity to access without being tested and diagnosed. E) if you have ADHD, learning you have it is the first step to overcoming any obstacles it may present you with; it may also help you to become aware of strengths you have that may be related to the diagnosis.
PS i'm actually trying to complete a report for an assessment I recently completed, so this was written quickly (i seem to have gotten distracted). i apologize for any typos, i hope it helps!