I was suspended for 2 weeks in my residency

If you are concerned that your medical license application may be rejected, you should have an attorney look over your current contract as well as the disciplinary policies of your current institution to determine what this type of suspension may mean for you and if it is recoverable or if in the scheme of things this is a minor transgression. I would also encourage you to consult with a residency program mentor or program director to see if they can be an ally on your behalf. Suspensions like this that one presumes goes in your "permanent file" might be offset by character references, positive performance reviews, etc. Good luck.

It will depend on whether or not, in the eyes of the State Medical Board, your actions constitute "unprofessional conduct," in particular, a violation of the board's rules (or perhaps another definition met by the specific conduct). Refer to Arkansas Code § 17-95-409 http://law.justia.com/codes/arkansas/2015/title-17/subtitle-3/chapter-95/subchapter-4/section-17-95-409/