Read the Asthma entry in the AIrcrew Waiver Guide linked in my signature. Waiver is almost a certainty, however how you get to that point might be short or long. Essentially, you probably don't need additional exams, however the specifics/severity of your own history, the opinion of your Flight Surgeon, the opinion of the approval authority might make you do additional exams. Childhood/adolescent asthma puts you at a higher chance of recurrence in your 30's. You'll probably need another Pulm consult to document a PFT w/ and w/o methacholine challenge, but maybe not. That's all my own speculation. Be proactive and you'll be fine.
Highlights from the Department of Defense News Briefing with Secretary Hagel and Gen. Dempsey from the Pentagon - 17 May 2013