Will I be able to complete the BB-8 event?

Hmmm I would say you have some chance, kylo ren has been known to carry the entire team if he's with zeta and gear 12. I would say give kylo unmasked speed mods so he can stun taunt bb8 and constantly attack people with debuff to keep it. Use phasma and the officer to buff first order executioner so he takes more turns and can use his special. I don't quite remember their team since it's been a while. Kill bb8, rey, then finn. Do your best to use regular kylo ren's stun ability on chewbacca to prevent him from dispelling and stunning kylo unmasked. If kylo unmasked does not have taunt try to use first order officer or phasma to boost him so he can regain. You want to try and kill chewbacca before han since chewie scales damage off of how many turns pass before his. Good luck.