Unfortunately, as everyone has noted, your situation with 2 IA regarding academic integrity is very hard to overcome. Akin to climbing Mt. Everest solo without equipment as it relates to US Med school admission, without some kind of action(s) to show contrition and maturity, 4 years of a clean record won't likely be enough. Can't say how schools outside the US will view your app.
Since you asked, here are some out-of-the-box ideas that you might consider that will show that you have redeemed yourself, and shows contrition, owning up to your transgressions, and maturity.
1) Join the Peace Corp for the next several years in an underdeveloped country
2) Spend the next several years making speeches to local/national HS or college students about the importance of integrity and ethics
3) Create a podcast or Youtube channel and for the next several years, broadcast/make videos telling your story to listeners/viewers about integrity and ethics, e.g. There are ex-convicts on Youtube with a huge # of subscribers who are telling their viewers their story and lessons that they have learned while in prison, and how not to commit crimes, etc.
4) ...
Right now your only hope might be medschools outside the US. Depending on how old you are (assuming 20s), applying for US medschools in your late 20s or early 30's is becoming more acceptable if you spend the next few years redeeming yourself through action(s).
