Looking at the screen shots the deliberate team wounding by both parties is clear. A ban appears to be justified.
Green_Machine aka S_my_D aka Pious_Peener_Pooper aka Patty_mayonaise has pretty much been banned about once a month since June (ban-free in October). This shows either a lack of understanding of the rules, or a deliberate disregard. Due to the ban history this will be a longer ban.
Byz_of_Uesugi has been banned twice in the past. Ban history isn't as extensive but you're building a case to start receiving longer bans in the future.
I understand that you might want to screw around with friends, but if you teamkill to the detriment of helping out the rest of your team it becomes a problem because it affects fun for others.
Issuing a 72 hour (3 day) ban for Green_Machine, and a 36 hour ban for Byz_of_Uesugi. Longer bans & unban essays are in your future if you continue to ignore the rules.